The nonlinear dynamic response of cantilever beams under transverse harmonic excitation is investigated experimentally and numerically. The experimental set up, finite element formulation with accurate representation of curvature/inertia nonlinearities, multi-modal transverse displacement approximation and solution methodology for the periodic solution of the resulting nonlinear equations of motion are described. The experimental and numerical results of nonlinear periodic response are compared and the detailed study is carried out to investigate the effects of approximation of curvature/inertia nonlinearities and transverse displacement on the nature/degree of nonlinearity.

中文翻译：

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曲率/惯性近似对悬臂梁非线性振动的影响

实验和数值研究了横向谐波激励下悬臂梁的非线性动力响应。描述了实验装置，具有曲率/惯性非线性的精确表示的有限元公式，多​​模态横向位移近似以及所得非线性运动方程的周期解的求解方法。比较了非线性周期响应的实验结果和数值结果，并进行了详细的研究，以研究曲率/惯性非线性和横向位移近似对非线性性质/程度的影响。