非线性振动系统的主共振的增量谐波平衡法

Study on primary resonance of nonlinear vibration by increment harmonic balance technique

利用增量谐波平衡法来研究单自由度非线性振动系统的主共振 .用傅里叶级数展开与时间有关的量 ,然后应用增量谐波平衡法 ,得到一个非线性的代数方程组 ,并建立了适合于计算机运算的数值模型 。

A method based on the increment harmonic balance technique to determine the primary resonance of nonlinear vibration of single freedom system is studied. The time discretization is achieved by Fourier series expansion of displacements. After applying the harmonic balance technique, a set of nonlinear algebraic equations of Fourier coefficients is obtained. Numerical examples demonstrate the method is effective.