Artículos (Ingeniería de la Construcción y Proyectos de Ingeniería)

URI permanente para esta colecciónhttps://hdl.handle.net/11441/11337

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A domain decomposition method employing displacement-only partitioned equations for quasi-static structural analysis
(Elsevier, 2024-11-01) Kang, Seung-Hoon; Park, K.C.; González Pérez, José Ángel; Shin, SangJoon; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Korean government (MSIT); Universidad de Sevilla. TIC152: Ingeniería de la Construcción
The present study reports a family of iterative domain decomposition method for the static structural analysis, labeled as AFETI-DO and its variants (AFETI-DOc and AFETI-DOci), all of which employ a recently developed Displacement-Only (DO) partitioned formulation (Park et al., 2023). The DO partitioned equation (P𝑑(𝐟 − 𝐊𝐝) = 0) consists of the applied force 𝐟, the block-diagonal stiffness matrix (𝐊) for each partition, the coupling projection operator (P𝑑), and the unknown partitioned displacements (𝐝). Numerical experiments with the AFETI-DO and its two variants demonstrate that, while their performance is comparable to existing iterative solution algorithms for homogeneous problems, for highly heterogeneous two and threedimensional problems the proposed methods yield an accurate convergence threshold compared with the FETI-DP method (Farhat et al., 2001). For fourth-order elasticity problems (i.e., thin plates and shells), the present methods offer a comparable accuracy and computational effort required with the FETI-DP method. In addition, while not extensive, the numerical performance of the proposed AFETI-DO method and its variants appear to exhibit scalability and improved accuracy, provided the preconditioners are paired with the commensurate heterogeneities.
Failure analysis of an overhead valve train system in urban buses
(Elsevier, 2019-02) Vélez Godiño, José Antonio; Torres-García, Miguel; Jiménez-Espadafor Aguilar, Francisco José; Palomo Guerrero, Daniel; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. Departamento de Ingeniería Energética
This work is focused on the study of the failures identified in the valve train system of two different types of engines, one diesel and one fed by compressed natural gas, both pertaining to a fleet of urban buses. The studied failure has been reported in >20 different units, the affected elements being both the cams (material removal at the cam nose) and the tappets (hard plate removal and strong tappet core deformation) and requiring the vehicles to be out of service until being repaired. In order to determine the root cause of the failure, the performed analyses have covered the lube oil characteristics, the kinematic chain status, highlighting the review of the camshaft modal response and the behaviour of the valves springs, and, finally, the verification of the selection regarding both the material and heat treatment of the camshaft.
Innovative power train configurations for aircraft auxiliary power units focused on reducing carbon footprint
(Elsevier Masson, 2020-11) Jiménez-Espadafor Aguilar, Francisco José; Vélez Godiño, José Antonio; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. Departamento de Ingeniería Energética; Ministerio de Economía y Competitividad (MINECO). España
Auxiliary power units constitute a non-negligible source of pollution not only in flight conditions but also at airports and their surrounding areas. This work compiles a technical feasibility assessment focused on the analysis of innovative alternatives to the traditional aircraft gas turbine based auxiliary power unit arrangement. The proposed innovations involve both new power train configurations and the use of different fuels, with the purpose of reducing both the primary energy consumption and the environmental impact of these systems. The core innovation proposed here consists in the use of a supercharged rotary engine as an alternative configuration to traditional auxiliary power units in aircraft. The rotary engine can achieve higher thermal efficiencies than gas turbines, which corresponds to a lower specific fuel consumption and, thus, a lower carbon footprint. Additionally, the proposed alternatives will involve hybrid configurations, providing thermal energy generation with electrical storage devices. Finally, the assessed arrangements will be based on the “more electric aircraft” concept, which implies a simplification of the aircraft non-propulsive power system design and allows the addition of batteries to the generating unit. In order to perform this assessment, different thermal models and simulations have been developed, allowing the quantification of the improvements related to the alternative proposed configuration.
Experimental analysis of late direct injection combustion mode in a compression-ignition engine fuelled with biodiesel/diesel blends
(Elsevier, 2022-01-15) Vélez Godiño, José Antonio; Torres-García, Miguel; Jiménez-Espadafor Aguilar, Francisco José; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. Departamento de Ingeniería Energética; Junta de Andalucía
A compression ignition reciprocating internal combustion engine has been modified to allow operation with late direct injection of rapeseed biodiesel fuel blends. The purpose of these modifications is to reduce both the engine's carbon footprint and emission of nitrogen oxides and soot, without decreasing performance or using expensive emission post-treatment systems. The experimental part of this work is based on the measurement of the main pollutants being emitted and the analysis of the combustion process, which is accomplished by the study of the heat release rate curve. This curve is derived from the experimental chamber pressure data, in combination with a zero-dimensional thermodynamic model assuming a perfect mixing reactor with temporal variation in volume and chemical composition, temperature-dependent properties and heat losses. The analysis of the experimental results allows deepening the knowledge of the combustion process in a compression ignition engine with late direct injection using different biodiesel blends. There is a significant reduction (>50%) of emissions of nitrogen oxides in comparison with the original configuration. This allows considering the modified configuration as an advanced combustion mode, intermediate between conventional compression ignition engines and homogeneous charge compression ignition combustion mode.
Simulation of HCCI combustion in air-cooled off-road engines fuelled with diesel and biodiesel
(Elsevier, 2018-08) Vélez Godiño, José Antonio; Jiménez-Espadafor Aguilar, Francisco José; Torres-García, Miguel; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. Departamento de Ingeniería Energética; Ministerio de Economía y Competitividad (MINECO). España
The present work describes the elaboration of a predictive tool consisting on a phenomenological multi-zone model, applicable to the simulation of HCCI combustion of both diesel and biodiesel fuels. The mentioned predictive tool is created with the aim to be applied in the future to perform engine characterization during both pre-design and post-design stages. The methodology applied to obtain the proposed predictive model is based on the generation of an analytical mechanism that, given a set of regression variables representing the engine operative conditions, provides the user with the optimal figures for the scaling coefficients needed to particularize both the ignition delay and the heat release rate functional laws, which rule the combustion development in the proposed multi-zone model for HCCI engines. The validation of the proposed predictive multi-zone model consists on the comparison between chamber pressure curve derived from the simulations and experimental data based on a DEUTZ FL1 906 unit modified in order to allow HCCI combustion operation mode using diesel EN590 and rapeseed biodiesel. Finally, evidences of the capabilities of the proposed model to be used as a predictive tool applicable to the analysis of off-road engines under HCCI conditions are provided, consisting in the characterization and optimization of the operational maps related to both Brake Specific Fuel Consumption and NOx emissions.
Explicit multistep time integration for discontinuous elastic stress wave propagation in heterogeneous solids
(2019-05) Cho, Sang S.; Kolman, Radek; González Pérez, José Ángel; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
A multistep explicit time integration algorithm is presented for tracking the propagation of discontinuous stress waves in heterogeneous solids whose subdomain-to-subdomain critical time step ratios range from tens to thousands. The present multistep algorithm offers efficient and accurate computations for tracking discontinuous waves propagating through such heterogeneous solids. The present algorithm, first, employs the partitioned formulation for representing each subdomain, whose interface compatibility is enforced via the method of the localized Lagrange multipliers. Second, for each subdomain, the governing equations of motion are decomposed into the extensional and shear components so that tracking of waves of different propagation speeds is treated with different critical step sizes to significantly reduce the computational dispersion errors. Stability and accuracy analysis of the present multistep time integration is performed with one-dimensional heterogeneous bar. Analyses of the present algorithm are also demonstrated as applied to the stress wave propagation in one-dimensional heterogeneous bar and in heterogeneous plain strain problems.
Inverse mass matrix for isogeometric explicit transient analysis via the method of localized Lagrange multipliers
(John Wiley & Sons, 2019-03) González Pérez, José Ángel; Kopačka, J.; Kolman, Radek; Cho, Sang S.; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Czech Science Foundation; Korea Foundation of Nuclear Safety; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
A variational framework is employed to generate inverse mass matrices for isogeometric analysis (IGA). As different dual bases impact not only accuracy but also computational overhead, several dual bases are extensively investigated. Specifically, locally discontinuous biorthogonal basis functions are evaluated in detail for B-splines of high continuity and Bézier elements with a standard C0 continuous finite element structure. The boundary conditions are enforced by the method of localized Lagrangian multipliers after generating the inverse mass matrix for completely free body. Thus, unlike inverse mass matrix methods without employing the method of Lagrange multipliers, no modifications in the reciprocal basis functions are needed to account for the boundary conditions. Hence, the present method does not require internal modifications of existing IGA software structures. Numerical examples show that globally continuous dual basis functions yield better accuracy than locally discontinuous biorthogonal functions, but with much higher computational overhead. Locally discontinuous dual basis functions are found to be an economical alternative to lumped mass matrices when combined with mass parameterization. The resulting inverse mass matrices are tested in several vibration problems and applied to explicit transient analysis of structures
Coupled fluid-solid thermal interaction modeling for efficient transient simulation of biphasic water-steam energy systems
(Elsevier, 2020-03) González Pérez, José Ángel; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Research Council of Norway; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
This paper proposes a fluid-solid coupled finite element formulation for the transient simulation of water-steam energy systems with phase change due to boiling and condensation. As it is commonly assumed in the study of thermal systems, the transient effects considered are exclusively originated by heat transfer processes. A homogeneous mixture model is adopted for the analysis of biphasic flow, resulting in a nonlinear transient advection-diffusion-reaction energy equation and an integral form for mass conservation in the fluid, coupled to the linear transient heat conduction equation for the solid. The conservation equations are approximated applying a stabilized Petrov-Galerkin FEM formulation, providing a set of coupled nonlinear equations for mass and energy conservation. This numerical model, combined with experimental heat transfer coefficients, provides a comprehensive simulation tool for the coupled analysis of boiling and condensation processes. For the treatment of enthalpy discontinuities traveling with the flow, a novel explicit-implicit time integration method based on Crank-Nicolson scheme is proposed, analyzing its accuracy and stability properties. To reduce problem size and enhance numerical efficiency, a modal superposition method with balanced truncation is applied to the solid equations. Finally, different example problems are solved to demonstrate the capabilities, flexibility and accuracy of the proposed formulation.
Large-Step Explicit Time Integration via Mass Matrix Tailoring
(John Wiley & Sons, 2020-04) González Pérez, José Ángel; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152; Ingeniería de la Construcción y Proyectos de Ingeniería
A method for tailoring mass matrices that allows large time-step explicit transient analysis is presented. It is shown that the accuracy of the present tailored mass matrix preserves the low-frequency contents while effectively replacing the unwanted higher mesh frequencies by a user-desired cutoff frequency. The proposed mass tailoring methods are applicable to elemental, substructural as well as global systems, requiring no modifications of finite element generation routines. It becomes most computationally attractive when used in conjunction with partitioned formulation as the number of higher (or lower) modes to be filtered out (or retained) are significantly reduced. Numerical experiments with the proposed method demonstrate that they are effective in filtering out higher modes in bars, beams, plain stress, and plate bending problems while preserving the dominant low-frequency contents.
Bi-penalty stabilized technique with predictor–corrector time scheme for contact-impact problems of elastic bars
(Elsevier, 2021-11) Kolman, Radek; Kopačka, Ján; González Pérez, José Ángel; Cho, Sang S.; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
This paper presents a stabilization technique for the finite element modelling of contact-impact problems of elastic bars via a bi-penalty method for enforcing contact constraints while employing an explicit predictor–corrector time integration algorithms. The present proposed method combines three salient features in carrying out explicit transient analysis of contact-impact problems: the addition of a penalty term associated with a kinetic energy expression of gap constraints, in addition to the conventional internal energy penalty term of the gap constraints; an explicit integration method that alleviates spurious oscillations; and, a judicious selection of two penalty parameters such that the stable time steps of the resulting explicit method is least compromised. Numerical experiments have been carried out with three explicit methods: the standard central difference method, the stabilized predictor–corrector method (Wu, 2003 [50]) and a method for mitigating spurious oscillations (Park et al., 2012 [44]) as applied to simulate one-dimensional contact-impact problems of the Signorini problem and the impact of two elastic bars. Results indicate that the proposed method can maintain the contact-free stability limit of the central difference and yield improved accuracy compared with existing bi-penalty methods.
Partitioned formulation of contact-impact problems with stabilized contact constraints and reciprocal mass matrices
(John Wiley & Sons, 2021-09) González Pérez, José Ángel; Kopačka, Ján; Kolman, Radek; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; European Union (UE); Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
This work presents an efficient and accuracy-improved time explicit solution methodology for the simulation of contact-impact problems with finite elements. The proposed solution process combines four different existent techniques. First, the contact constraints are modeled by a bipenalty contact-impact formulation that incorporates stiffness and mass penalties preserving the stability limit of contact-free problems for efficient explicit time integration. Second, a method of localized Lagrange multipliers is employed, which facilitates the partitioned governing equations for each substructure along with the completely localized contact penalty forces pertaining to each free substructure. Third, a method for the direct construction of sparse inverse mass matrices of the free bodies in contact is combined with the localized Lagrange multipliers approach. Finally, an element-by-element mass matrix scaling technique that allows the extension of the time integration step is adopted to improve the overall performance of the algorithm. A judicious synthesis of the four numerical techniques has resulted in an increased stable explicit step-size that boosts the performance of the bipenalty method for contact problems. Classical contact-impact numerical examples are used to demonstrate the effectiveness of the proposed methodology.
Watermills: The Origin of the Use of Renewable Hydraulic Energy in Spain
(Routledge, Taylor & Francis Group, 2018) Sánchez Jiménez, Francisco Javier; González Pérez, José Ángel; Universidad de Sevilla. Departamento de Ingeniería del Diseño; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
The use of renewable hydraulic energy sources by mankind most likely has its origins in the development of the watermills. To understand the functioning of these mills, this article first reviews, through the analysis of different bibliographical sources, the technical evolution of the machinery used since the appearance of the first watermills to grind cereal grain in the 1st century BC. Secondly, a particular area of the south-west of Spain, Alcalá de Guadaíra, has been selected for study, whose strategic location as well as its hydrological characteristics gave rise, firstly, to an intensive milling industry, and, later, a famed baking industry, from the late Middle Ages until recent decades. The huge development of these two industrial activities has made Alcalá de Guadaíra an exceptional example in Spain, with 40 watermills in the early 18th century. Extensive work on site allowed the analysis of the state and types of watermills that still exist in this area, identifying their similarities and differences. Unfortunately, after they fell into disuse, only 28 of these mills remain today; 12 of them are in a relative good state of preservation, seven in an alarming state of ruin and, of the other nine, only some unrecognisable vestiges remain. Some of these mill buildings have been restored recently, although their machinery is missing. Only from old photographs or by visiting mills restored in other areas is it possible to determine how these watermills worked. Due to the lack of financial resources to carry out physical restoration of the industrial heritage missing in these flour mills, a virtual model of one of them has been developed. This work provides, at least virtually, a reconstruction of the traditional mills which helps promote technological studies and shows how they worked, as part of virtual exhibitions. In addition, a computer application of augmented reality has been developed that any visitor can install on a mobile device to display the virtual reality of the machinery, generated by 3D models, so they can visualise the physical reality that they would have found in the mill.
Energy-conserving interface dynamics with asynchronous direct time integration employing arbitrary time steps
(Elsevier, 2023-08) Dvořák, Radim; Kolman, Radek; Mračko, Michal; Kopačka, Ján; Fíla, Tomáš; Jiroušek, Ondřej; González Pérez, José Ángel; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
The derivation and implementation of an asynchronous direct time integration scheme for domain-decomposed finite element models is presented. To maximize clarity in the description of the proposed asynchronous integration, the scheme is restricted to the linear-elastic stress wave propagation case. The proposed method allows the integration of individual subdomains with independent time steps. There is no requirement for an integer time steps ratio of the interacting domains while maintaining zero interface energy. The subdomains are connected by the condition of the continuity of the acceleration field at the interface. In addition, the a posteriori technique is applied to satisfy the continuity of the displacement and velocity fields. Another important contribution of this paper lies in the description of the implementation — we offer the reader a general description of the implementation of the case of any number of subdomains with any number of constraints between them, while the basics of the algorithm are explained on a single domain pair. The functionality of the asynchronous integrator is verified by solving selected problems and comparing with analytical solutions and experimental measurements obtained using a Split Hopkinson pressure bar setup.
Displacement-based partitioned equations of motion for structures: Formulation and proof-of-concept applications
(John Wiley & Sons, 2023-11) Park, K.C.; González Pérez, José Ángel; Park, Y.H.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
A new formulation for the displacement-only partitioned equations of motion for linear structures is presented, which employs: the partitioned displacement, acceleration, and applied force ( ); the partitioned block diagonal mass and stiffness matrices ( ); and, the coupling projector ( ), yielding the partitioned coupled equations of motion: ). The key element of the proposed formulation is the coupling projector ( ) which can be constructed with the partitioned mass matrix ( ), the Boolean matrix that extracts the partition boundary degrees of freedom ( ), and the assembly matrix ( ) relating the assembled displacements ( ) to the partitioned displacements ( ) via . Potential utility of the proposed formulation is illustrated as applied to six proof-of-concept problems in an ideal setting: unconditionally stable explicit-implicit transient analysis, static parallel analysis in an iterative solution mode; reduced-order modeling (component mode synthesis); localized damage identification which can pinpoint damage locations; a new procedure for partitioned structural optimization; and, partitioned modeling of multiphysics problems. Realistic applications of the proposed formulation are presently being carried out and will be reported in separate reports.
Accelerating the convergence of AFETI partitioned analysis of heterogeneous structural dynamical systems
(Elsevier, 2020-03) González Pérez, José A.; Park, K.C.; Universidad de Sevilla. TIC152: Ingeniería de la Construcción y Proyectos de Ingeniería
Variationally based algorithms for the partitioned solution of structural mechanics problems are presented. Two key features of the present algorithms are the judicious application of the d’Alembert-Lagrange principal equations and the use of dominant substructural deformation modes. The paper includes three developments: 1. Variational derivation of AFETI parallel solution methods. 2. One-level and two-level AFETI implicit transient analysis algorithms with coarse problem included in the projector and based on free floating rigid body modes. 3. A new AFETI implicit transient solution algorithm derived by constraining the interface equilibrium equations with the floating and dominant deformational modes. In addition to variational derivations of solution algorithms, the present paper is strived to offer new physical and/or numerical insight as each of variational derivational steps is succinctly explained. Performance evaluations of the algorithms described herein are presented.
Inverse mass matrix via the method of localized Lagrange multipliers
(John Wiley & Sons, 2018-01) González Pérez, José Ángel; Kolman, Radek; Cho, Sang S.; Felippa, C.A.; Park, K.C.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Centre of Excellence for nonlinear dynamic behavior of advanced materialsin engineering
An efficient method for generating the mass matrix inverse of structural dynamic problems is presented, which can be tailored to improve the accuracy of target frequency ranges and/or wave contents. The present method bypasses the use of biorthogonal construction of a kernel inverse mass matrix that requires special procedures for boundary conditions and free edges or surfaces and constructs the free-free inverse mass matrix using the standard FEM procedure. The various boundary conditions are realized by the the method of localized Lagrange multipliers. In particular, the present paper constructs the kernel inverse matrix by using the standard FEM elemental mass matrices. It is shown that the accuracy of the present inverse mass matrix is almost identical to that of a conventional consistent mass matrix or a combination of lumped and consistent mass matrices. Numerical experiments with the proposed inverse mass matrix are conducted to validate its effectiveness when applied to vibration analysis of bars, beams, and plain stress problems.
Three-field partitioned analysis of fluid–structure interaction problems with a consistent interface model
(Elsevier, 2023) González Pérez, José Ángel; Park, K.C.; Universidad de Sevilla. Ingeniería de la Construcción y Proyectos de Ingeniería; Consejería de Transformación Económica, Conocimiento, Empresas y Universidades. Junta de Andalucía; Universidad de Sevilla. TIC152: Diseño, Construcciones y Proyectos de Ingeniería
This paper proposes a new Fluid–Structure Interaction computational framework. The coupling between the solid and an incompressible fluid is formulated by means of the method of localized Lagrange multipliers (LLM). Instead of applying a direct coupling between the fluid and the structure, which is the traditional approach, LLM introduces an intermediate surface with its own degrees of freedom that is connected to the fluid and structure sides using independent fields of localized Lagrange multipliers. This approach allows the connection of non-matching meshes with mortar or classical localized methods and provides consistent dynamic equations of motion for the interface that can be integrated in parallel. Interface multipliers are later eliminated and the interface motion is used to update the fluid and structure states. This way, dedicated stand-alone software modules for the fluid and the structure are connected to a third interface system treating their interaction, thus preserving the modularity of the single-discipline software modules. Different numerical examples are solved with the proposed methodology to prove its efficiency and accuracy by running a series of classical dynamic FSI benchmark problems.
Thermal Modeling of the Port on a Refining Furnace to Prevent Copper Infiltration and Slag Accretion
(MDPI, 2021-11) Jiménez-Espadafor Aguilar, Francisco José; Vélez Godiño, José Antonio; Torres García, Miguel; Gallardo Fuentes, José María; Díaz Gutiérrez, Eduardo; Universidad de Sevilla. Departamento de Ingeniería Energética; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería; Universidad de Sevilla. Departamento de Ingeniería y Ciencia de los Materiales y del Transporte; Universidad de Sevilla. TEP137: Maquinas y Motores Térmicos; Universidad de Sevilla. TEP123: Metalurgia e Ingeniería de los Materiales
Fire refining of blister copper is a singular process at very high temperatures (~1400 K), which means the furnace is exposed to heavy thermal loads. The charge is directly heated by an internal burner. The impurities in the charge oxidize with the flux of hot gases, creating a slag layer on the top of the molten bath. This slag is periodically removed, which implies liquid metal flowing through the furnace port. To address its malfunction, a re-design of the furnace port is presented in this work. Due to the lack of previous technical information, the convective heat transfer coefficient between the slag and the furnace port was characterized through a combination of an experimental test and a three-dimensional transient model. Finally, the original design of the furnace port was analyzed and modifications were proposed, resulting in a reduction of the average temperature of the critical areas up to 300 K. This improvement prevents the anchoring of the accretion layer over the port plates and the steel plate from being attacked by the copper.
Tratamiento de elementos rectos y curvos de sección variable por métodos matriciales
(Scipedia, 1989) Bravo Aranda, Gabriel; Martín Navarro, Antonio F.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería
En este trabajo se presenta la formulación necesaria para el tratamiento de elementos de directriz recta o circunferencial con características geométricas e inerciales variables según la directriz, así como de las cargas equivalentes, dentro del ámbito del Análisis Matricial de Estructuras.
Diseño preliminar de mallas tesas
(Asociación Española de Ingeniería Estructural (ACHE), 1987) Hernández Rodríguez, Francisco; Martín Navarro, Antonio F.; Universidad de Sevilla. Departamento de Ingeniería de la Construcción y Proyectos de Ingeniería
En este trabajo se presenta un método para el diseño preliminar de mallas tesas, cuyo ámbito de aplicación consiste en superficie con planta de proyección rectangular y bordes curvos o rectos. Así mismo se incluyen algunos ejemplos que validan el método propuesto.

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