一种非线性能量阱的构建及瞬态特征分析

Construction of a nonlinear energy sink and its transient features analysis

使用单根欧拉梁作为非线性刚度元件,建立其边界固支条件下的理论模型。考虑线性刚度对单根欧拉梁输出刚度影响几乎可忽略,可有效构建一种近似纯立方刚度的非线性能量阱;以抑制星载设备在主动发射段来自运载火箭瞬态载荷的影响,建立结构板-星载设备-非线性能量阱系统动力学模型;利用所建模型进行仿真计算,并根据振动吸收和系统中各部分能量传递特征研究非线性能量阱的工作性能。研究结果表明,采用单根欧拉梁成功构建可在工程中应用的非线性能量阱,且给出了发生靶能量传递的初始条件。

A single Euler beam was taken as a nonlinear stiffness element and its theoretical model was established under a fixed-fixed boundary condition. A nonlinear energy sink with an approximate pure cubic stiffness was constructed effectively ignoring the effect of linear stiffness on output stiffness of a single Euler beam to suppress effects of carrier rocket’s transient loads on space-borne equipment within active launch duration. A multi-DOF system’s dynamic model including structural plate, space-borne device and nonlinear energy sink was built. Using the established model,numerical simulation was conducted to investigate the nonlinear energy sink ’s performance according to vibration absorption and energy transfer features among components of the system. The results showed that a nonlinear energy sink being applicable in engineering is constructed successfully using a single Euler beam; the initial condition to excite a target energy transfer is deduced.