Forced Vibration Analysis of a Nonlinear Structure Connected in Series: (2nd Report, Treatment for a Piecewise Linear System and Numerical Computational Results)

A numerical computational method is suggested for the nonlinear analysis of a piecewise linear system including a system with clearances which is often found in practical mechanical structures. When this method is combined with the analytical method for the nonlinear system based on the concept of harmonic balance, the piecewise linear system is analyzed with high accuracy. The validity of the incremental transfer influence coefficient method formulated in the previous report for the structure connected in series is verified by the numerical computational results for some examples, as compared with those of the incremental harmonic balance method and the incremental transfer matrix method. As a result, it was confirmed that the incremental transfer influence coefficient method was the most effective among the three methods as the degrees of freedom of the structure treated become large and the accuracy of an approximate solution becomes high.