Application of the finite element method for the evaluation of velocity response of anvils

✍ Scribed by C.W.S. To

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 917 KB
• Volume: 84
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(82)80034-5

✦ Synopsis

The acoustic energy radiating from an elastic structure is directly related to the spatial average of the mean square velocity response of the structure to excitation. In this paper, a theory for evaluating the velocity response of unconstrained and constrained, damped structures, discretized by the finite element method, to transient excitations is given. A numerical approach employing the normal mode-cum~ digital filtering technique for the determination of velocity response of damped structures to arbitrary transient excitations is also included. Based on the theory and numerical approach a digital computer program in Fortran IV has been developed. Applications of the computer program for determining the natural frequencies, mode shapes, and squared velocity response of an unconstrained anvil, approximated by the 20-node isoparametric soli_d element, to point transient excitations were made. Finally, it is concluded that the procedure proposed is a powerful tool for calculating sound energy radiated from elastic structures of complicated geometrical configurations.