Application of the Finite Element Method for the Solution of Stability Problems of the Timoshenko Beam with Exact Shape Functions
In this article, the problems of the stability of a Timoshenko beam are solved by the finite element method, with application of exact shape functions. These shape functions are derived from the solution of homogeneous equations of equilibrium. The article presents expressions for elements of stiffn...
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| Veröffentlicht in: | Power technology and engineering 2019-11, Vol.53 (4), p.449-454 |
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| creator | Lalin, V. V. Yavarov, A. V. Orlova, E. S. Gulov, A. R. |
| description | In this article, the problems of the stability of a Timoshenko beam are solved by the finite element method, with application of exact shape functions. These shape functions are derived from the solution of homogeneous equations of equilibrium. The article presents expressions for elements of stiffness matrixes and the geometric rigidity of a Timoshenko beam. The approach that is used makes it possible to exclude the shear (locking) effect and obtain a high degree of correspondence between the numerical and analytical solutions with a small number of finite elements. |
| doi_str_mv | 10.1007/s10749-019-01098-6 |
| format | Article |
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The approach that is used makes it possible to exclude the shear (locking) effect and obtain a high degree of correspondence between the numerical and analytical solutions with a small number of finite elements.</description><subject>Electrical Machines and Networks</subject><subject>Energy</subject><subject>Energy Systems</subject><subject>Exact solutions</subject><subject>Finite element analysis</subject><subject>Finite element method</subject><subject>Foundations</subject><subject>Geoengineering</subject><subject>Hydraulics</subject><subject>Locking</subject><subject>Nonlinear programming</subject><subject>Power Electronics</subject><subject>Renewable and Green Energy</subject><subject>Shape functions</subject><subject>Stability</subject><subject>Stiffness matrix</subject><subject>Timoshenko beams</subject><issn>1570-145X</issn><issn>1570-1468</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp9kF1LwzAUhosoOKd_wKuA19Wk6UdyOcf8gInCJngX0vbUZrZNTVJ0l_5z29XpnReHHMjzPgdezzsn-JJgnFxZgpOQ-5gMgznz4wNvQqIE-ySM2eHvHr0ceyfWbjAOcBDSifc1a9tKZdIp3SBdIFcCulGNcoAWFdTQOPQArtQ5KrTZ_a501e3plZOpqpTboiej0563e8da1dqW0LxpdA2yRh_KlWjxKTOHVqVs-yNdkw0ae-odFbKycPbzTr3nm8V6fucvH2_v57OlnwU0jH0eplmeUJbImKTAZMELGeAkg5gRoIAZ4EwGnAQ8IlHE8pDiuMh5QXPOJKQxnXoXo7c1-r0D68RGd6bpT4qA9inOYsZ6KhipzGhrDRSiNaqWZisIFkPVYqxa9FWLXdViUNMxZHu4eQXzp_4n9Q3d_IKZ</recordid><startdate>20191101</startdate><enddate>20191101</enddate><creator>Lalin, V. 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| subjects | Electrical Machines and Networks Energy Energy Systems Exact solutions Finite element analysis Finite element method Foundations Geoengineering Hydraulics Locking Nonlinear programming Power Electronics Renewable and Green Energy Shape functions Stability Stiffness matrix Timoshenko beams |
| title | Application of the Finite Element Method for the Solution of Stability Problems of the Timoshenko Beam with Exact Shape Functions |
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