FREE VIBRATION OF RODS, BEAMS AND FRAMES USING SPECTRAL ELEMENT METHOD

作者: Anusmita Malik

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摘要: When the structure vibrates with high frequency, finite element method needs to be modeled very large number of elements capture all necessary frequencies higher modes. The exact solution governing differential equations for vibration problems modes can formed by using frequency dependent shape functions and thereby formulating Dynamic Stiffness Matrix an from which global is obtained following procedure similar that Finite Element Method (FEM). From this DSM free have been rods beams only 2 spectral frames considering each member as element.

参考文章(45)
Franklin Y. Cheng, Wu-Hsiung Tseng, Dynamic Matrix of Timoshenko Beam Columns Journal of the Structural Division. ,vol. 99, pp. 527- 549 ,(1973) , 10.1061/JSDEAG.0003464
J. S Przemieniecki, Theory of matrix structural analysis ,(1985)
J. Lee, W.W. Schultz, Eigenvalue analysis of Timoshenko beams and axisymmetric Mindlin plates by the pseudospectral method Journal of Sound and Vibration. ,vol. 269, pp. 609- 621 ,(2004) , 10.1016/S0022-460X(03)00047-6
Roger Lundén, Bengt Åkesson, Damped second-order Rayleigh-Timoshenko beam vibration in space—an exact complex dynamic member stiffness matrix International Journal for Numerical Methods in Engineering. ,vol. 19, pp. 431- 449 ,(1983) , 10.1002/NME.1620190310
J.R. Bannerjee, F.W. Williams, EXACT DYNAMIC STIFFNESS MATRIX FOR COMPOSITE TIMOSHENKO BEAMS WITH APPLICATIONS Journal of Sound and Vibration. ,vol. 194, pp. 573- 585 ,(1996) , 10.1006/JSVI.1996.0378