Free vibration of 1-D and 2-D skeletal structures

Abstract

A structure is to be designed to achieve a definite set of natural frequencies to avoid resonance, to decrease dynamic stresses, or to provide study materials for certain critical computation of vibration instrumentation. Structures vibrate constantly in certain frequencies under dynamic loadings. So, it is necessary to undertake vibration analysis to avoid resonance with the natural frequency. The natural frequency depends upon stiffness and mass distributions, boundary conditions and the modes in which they are excited. This project “Free Vibrations of 1-D and 2-D Skeletal Structures,” aims in computing the free natural frequencies of 1-D and 2-D skeletal structures. FEM (finite Element Analysis) is a versatile numerical technique which is quite effective for vibrational analysis of structures which are under dynamic loads. MATLAB codes are developed using FEM techniques in which inertia and stiffness matrices are constructed. Finally the natural frequencies are computed.