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  • This paper presents numerical solutions of straight plane beam structures rested on an elastic (Winkler's) foundation. It is a continuation of our previous work (see Part 1 of this article) focused on practical applications and solutions including nonlinearities in the foundation (i.e. bilateral linear, bilateral linear + cubic, bilateral linear + cubic + quintic approximations and unilateral approximation for dependencies of reaction forces on deflection in the foundation). For solutions of nonlinear problems of mechanics (i.e. differential 4th-order equations), the Finite Difference Method (i.e. the Central Difference Method) is applied in combination with the Newton (Newton–Raphson) Method. Finally, in one example, linear and nonlinear approaches are solved, evaluated and compared. In some cases, there are evident major differences between the linear and nonlinear solutions.
  • This paper presents numerical solutions of straight plane beam structures rested on an elastic (Winkler's) foundation. It is a continuation of our previous work (see Part 1 of this article) focused on practical applications and solutions including nonlinearities in the foundation (i.e. bilateral linear, bilateral linear + cubic, bilateral linear + cubic + quintic approximations and unilateral approximation for dependencies of reaction forces on deflection in the foundation). For solutions of nonlinear problems of mechanics (i.e. differential 4th-order equations), the Finite Difference Method (i.e. the Central Difference Method) is applied in combination with the Newton (Newton–Raphson) Method. Finally, in one example, linear and nonlinear approaches are solved, evaluated and compared. In some cases, there are evident major differences between the linear and nonlinear solutions. (en)
Title
  • Straight Beams Rested on Nonlinear Elastic Foundations – Part 2 (Numerical Solutions, Results and Evaluation)
  • Straight Beams Rested on Nonlinear Elastic Foundations – Part 2 (Numerical Solutions, Results and Evaluation) (en)
skos:prefLabel
  • Straight Beams Rested on Nonlinear Elastic Foundations – Part 2 (Numerical Solutions, Results and Evaluation)
  • Straight Beams Rested on Nonlinear Elastic Foundations – Part 2 (Numerical Solutions, Results and Evaluation) (en)
skos:notation
  • RIV/61989100:27600/14:86090935!RIV15-TA0-27600___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(TA03010804), S
http://linked.open...iv/cisloPeriodika
  • 684
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 47590
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27600/14:86090935
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  • Results; Programming; Newton–Raphson Method; Finite Difference Method (Central Differences); Nonlinearity; Beam; Elastic Foundation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV
  • [CECEFEDD29FC]
http://linked.open...i/riv/nazevZdroje
  • Applied Mechanics and Materials. Volume 684
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 16.09.2014
http://linked.open...iv/tvurceVysledku
  • Frydrýšek, Karel
  • Nikodým, Marek
  • Michenková, Šárka
http://linked.open...ain/vavai/riv/wos
  • 000348102000003
issn
  • 1660-9336
number of pages
http://bibframe.org/vocab/doi
  • 10.4028/www.scientific.net/AMM.684.21
http://localhost/t...ganizacniJednotka
  • 27600
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