Development of dynamic response analysis algorithm for beam structures using transfer of mass coefficient

Abstract

The authors developed the transfer mass coefficient method (TMCM) in order to compute effectively the dynamic response of a beam structure. In this paper, the algorithm for the dynamic response analysis of a three-dimensional beam structure is formulated. Through the computation results of numerical models, which are plane and space beam structures, obtained by the transfer mass coefficient method and the direct integration method, we verify that the transfer mass coefficient method can remarkably decrease the computation time of the direct integration method without the loss of accuracy in spite of using small computer storage.

Static & dynamic performances analysis and optimization design for the whole casting column of a certain high-speed horizontal machining center using ABAQUS

“…Finite element method is widely used in structural design of machining center [1][2][3][4]. In the literature "The finite element analysis of the XH715 vertical machining center" of Jiang and Chen, static and dynamic performances of XH715 vertical machining center are analyzed by using ANSYS finite element software.…”

Development of high speed computation algorithm for transient analysis of rectangular plates

“…However, it requires long computation time and large computation memory for accurately solving dynamic problems of structures that have a number of degrees-of-freedom [1][2][3][4][5][6][7][8][9][10][11]. To overcome the above limitations of the FEM, some numerical methods have been developed and used for computing the transient responses of rectangular plate structures [3,6,8].…”

“…This algorithm was derived from a combination of the transfer technique of the transfer mass coefficient method [11], the modeling technique of the FEM, and the numerical integration technique of Newmark's method [13]. It is termed the finite element-transfer mass coefficient method (FE-TMCM).…”