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Titlebook: Statics and Influence Functions - from a Modern Perspective; Friedel Hartmann,Peter Jahn Book 20171st edition Springer International Publi

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书目名称Statics and Influence Functions - from a Modern Perspective
编辑Friedel Hartmann,Peter Jahn
视频video
概述Explains how influence functions can be computed with finite elements.Shows that finite element programs use influence functions to calculate the results.Shows how the error in the influence functions
图书封面Titlebook: Statics and Influence Functions - from a Modern Perspective;  Friedel Hartmann,Peter Jahn Book 20171st edition Springer International Publi
描述The book teaches engineers many new things about a classical topic which suddenly is again in the center of interest because of its relevance for finite element analysis, for the accuracy of computational methods..It shows that influence functions play a fundamental role in the finite element analysis of structures and practically all of linear computational mechanics. It also strives to add new and important insights into modern structural analysis and into computational mechanics by establishing the central role of influence functions for the numerical analysis and to lay a new foundation to the energy and variational principles..
出版日期Book 20171st edition
关键词influence function; Green‘s function; variational and energy principles; adaptive methods; boundary elem
版次1
doihttps://doi.org/10.1007/978-3-319-51222-8
isbn_softcover978-3-319-84596-8
isbn_ebook978-3-319-51222-8
copyrightSpringer International Publishing AG 2017
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Finite Elements,In this chapter, we calculate influence functions with finite elements and we study the properties of these FE-influence functions, where they are exact and where and why they deviate from the exact functions.
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Betti Extended,The FE-solution . is the scalar product of the approximate influence function . and the load .(.) .In the previous chapter, we have already made multiple use of this central result. It is now time to give a proof of this equation.
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Stiffness Changes and Reanalysis,The subject of this chapter are local changes in the stiffness of single structural members which in terms of linear algebra lead to expressions such as.
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Singularites,In this chapter, we focus on stress singularities and how influence functions can help to uncover their features.
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Energy Principles of Plates and Slabs and Supplements,This chapter is devoted to the formulation of influence functions.
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