Free Vibration Studies Using Galerkin's Finite Element Method

Annur Srinivasan Krishnan; Geetha George

doi:10.7227/ijmee.28.1.3

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Free Vibration Studies Using Galerkin's Finite Element Method

Annur Srinivasan Krishnan, Geetha George

International Journal of Mechanical Engineering Education2000doi:10.7227/ijmee.28.1.3

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Abstract

An effort is made to formulate systematically the finite element method based on Galerkin's principle to solve beam problems. The developed code is used to study the free vibration characteristics of stepped, spring supported and twisted beams of solid sections. Thin walled sections exhibiting bending twisting coupling (channel) and beams with unsymmetric cross section (Z section) are also analysed. Results obtained with two elements are very reasonable.

Authors

Annur Srinivasan Krishnan#1 Geetha George#2

Institutions

Indian Institute of Technology Madras Tata Consultancy Services (India)

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External reference records

10.2514/3.6785

10.1016/s0022-460x(74)80037-4

10.1016/0022-460x(75)90013-9

10.1016/0022-460x(82)90281-4

10.1016/s0022-460x(88)81390-7

10.1016/0045-7949(92)90490-q

Unresolved referenced work

1991

10.1016/0022-460x(89)90615-9

10.1016/0022-460x(89)90561-0

10.1016/0020-7403(70)90025-1

10.1016/0022-460x(78)90042-1

Free Vibration Studies Using Galerkin's Finite Element Method

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