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Dynamic analysis of beams on viscoelastic foundation |
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| Authors: | Faruk Fırat Çalım |
| Institution: | 1. Department of Physics, University of Dschang, Cameroon;2. Discipline of Mechanical Engineering, University of KwaZulu-Natal, Durban 4041, South Africa;1. Department of Theoretical and Applied Mechanics, Faculty of Mechanical Engineering, University of Ni?, A. Medvedeva 14, 18000, Ni?, Serbia;2. Department of Computer Science, Faculty of Sciences and Mathematics, University of Ni?, Vi?egradska 33, 18000, Ni?, Serbia;3. Department of Civil Engineering, Lakehead University, Thunder Bay, Ontario, P7B 5E1, Canada;1. Departamento de Engenharia Civil, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Portugal;2. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal |
| Abstract: | This study is intended to analyze dynamic behavior of beams on Pasternak-type viscoelastic foundation subjected to time-dependent loads. The Timoshenko beam theory is adopted in the derivation of the governing equation. Ordinary differential equations in scalar form obtained in the Laplace domain are solved numerically using the complementary functions method to calculate exactly the dynamic stiffness matrix of the problem. The solutions obtained are transformed to the real space using the Durbin's numerical inverse Laplace transform method. The dynamic response of beams on viscoelastic foundation is analyzed through various examples. |
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