Abstract：The method proposed here in this work is aimed at solving the problem of dynamic response of the forced vibration of continuous systems with arbitrary discrete piecewise-linear constraints or nonlinear constraint which can be converted to piecewise-linear form. This approach is deduced based on mode transfer principle and variation theory referring the previous fundamental work which is named Relative Mode Transfer Method(RMTM) put forward before. A study case of a clamped-clamped beam with a constraint at the middle point is studied to illustrate the new method. The transfer between contact modes and non-contact modes is dealt with the new approach. It can be seen from the simulation result that it is an efficient and high precision method with good convergence in the simulating process. The distinct characteristic of the frequency response of a class of beam system represented by the numerical example is discussed, the effects of modes coupling, stiffness of the stop spring to the response are studied. The study case is also solved adopting Force Integration Method(FIM), and the results are compared which corroborates the new method.
孔宪仁;卫洪涛;王本利;张相盟. 相对振型转换法求解具有多点限制连续体振动响应[J]. , 2013, 32(3): 12-17.
Kong Xianren;Wei Hongtao;Wang Benli;Zhang Xiangmeng. Study on the Non-linear Dynamic Response of Continuous System with multipoint Constraints Based on Relative Mode Transfer Method. , 2013, 32(3): 12-17.
2013, Vol. 32 
