LEADER 03062nam 22005655 450 001 9910337606703321 005 20230810164607.0 010 $a3-030-17199-X 024 7 $a10.1007/978-3-030-17199-5 035 $a(CKB)4100000008280504 035 $a(MiAaPQ)EBC5779955 035 $a(DE-He213)978-3-030-17199-5 035 $a(PPN)236525662 035 $a(EXLCZ)994100000008280504 100 $a20190521d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Elements Using Maxima $eTheory and Routines for Rods and Beams /$fby Andreas Öchsner, Resam Makvandi 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (263 pages) 311 $a3-030-17198-1 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames. 330 $aThis book provides a study aid on the finite element method. Based on the free computer algebra system ?Maxima?, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical ?hand calculations? but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler?Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief ?Finite Elements for Truss and Frame Structures? (978-3-319-94940-6) by the same authors. 606 $aMechanics, Applied 606 $aSolids 606 $aNumerical analysis 606 $aMathematics$xData processing 606 $aSolid Mechanics 606 $aNumerical Analysis 606 $aComputational Science and Engineering 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aNumerical analysis. 615 0$aMathematics$xData processing. 615 14$aSolid Mechanics. 615 24$aNumerical Analysis. 615 24$aComputational Science and Engineering. 676 $a620.00151535 676 $a518.25 700 $aÖchsner$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0317948 702 $aMakvandi$b Resam$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910337606703321 996 $aFinite Elements Using Maxima$92105792 997 $aUNINA