{"title":"Finite Element Techniques for the Nonlinear Stress Analysis of Metallic and Reinforced Concrete Structures","authors":"A. Ranjbaran","doi":"10.1201/9780203738108-4","DOIUrl":"https://doi.org/10.1201/9780203738108-4","url":null,"abstract":"","PeriodicalId":218944,"journal":{"name":"Structural Dynamic Systems Computational Techniques and Optimization","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116509574","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Newton-Raphson Techniques in Finite Element Methods for Non-Linear Structural Problems","authors":"Changfu Chen","doi":"10.1201/9780203738108-3","DOIUrl":"https://doi.org/10.1201/9780203738108-3","url":null,"abstract":"","PeriodicalId":218944,"journal":{"name":"Structural Dynamic Systems Computational Techniques and Optimization","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125327642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Element Analysis Techniques of Co-Rotational Formulation for Nonlinear Dynamic Analysis of Beam Structures","authors":"K. Hsiao","doi":"10.1201/9780203738108-5","DOIUrl":"https://doi.org/10.1201/9780203738108-5","url":null,"abstract":"A consistent co-rotational formulation and numerical procedure for the dynamic analysis of planar Timoshenko beam is presented in detail to demonstrate the finite element analysis techniques of co-rotational formulation for nonlinear dynamic analysis of beam structures. The inertia nodal forces and deformation nodal forces are systematically derived by consistent linearization of the fully geometrically nonlinear beam theory by using the d’Alembert principle and the virtual work principle. The nodal coordinates, incremental displacements and rotations, velocities, accelerations and the equations of motion of the system are defined in terms of a fixed global coordinate system, while the total strains in the beam element are measured in element coordinates which are constructed at the current configuration of the beam element. A practical numerical procedure is proposed to determine the current end cross-section coordinates, element coordinates, and element deformations corresponding to an incremental displacement. An incremental-iterative method based on the Newmark direct integration method and the Newton-Raphson method is employed here for the solution of the 284nonlinear dynamic equilibrium equations. Numerical examples are presented to demonstrate the effectiveness of the proposed method and investigate the effect of the shear deformafion on the dynamic response of the beam structures.","PeriodicalId":218944,"journal":{"name":"Structural Dynamic Systems Computational Techniques and Optimization","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130540395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Finite Element Techniques for Nonlinear Postbuckling and Collapse of Elastic Structures","authors":"N. F. Knight","doi":"10.1201/9780203738108-1","DOIUrl":"https://doi.org/10.1201/9780203738108-1","url":null,"abstract":"","PeriodicalId":218944,"journal":{"name":"Structural Dynamic Systems Computational Techniques and Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116094387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Boundary Element Methods in Structural Dynamic System Problems","authors":"S. Syngellakis","doi":"10.1201/9780203738108-2","DOIUrl":"https://doi.org/10.1201/9780203738108-2","url":null,"abstract":"The aim of the boundary element method (BEM) is the numerical solution of integral equations derived from various mathematical models of material behaviour. It is desirable that only the variation of unknown quantities over the boundary of the analysed medium appear in those equations so that only boundary meshing and modelling schemes would be required. Hence, no approximations are necessary for the variables within the domain and the dimensionality of the problem is reduced by one. Both the direct as well as the indirect versions of BEM use as weighting functions in the formulation and numerical integration process the fundamental solution of the linear field equations governing the physical problem under consideration. Thus, the method is particularly effective in modelling and analysing unbounded regions since then it permits the discretization of only internal boundaries and, in the case of wave propagation, incorporates the radiation condition at infinity.","PeriodicalId":218944,"journal":{"name":"Structural Dynamic Systems Computational Techniques and Optimization","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128987865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}