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On the Nonlinear Vibrations of Clamped Oval Shells

机译:夹紧椭圆形壳的非线性振动

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In the present study, the nonlinear dynamic response of clamped immovable oval cylindrical shells subjected to radial harmonic excitation in the spectral neighborhood of the free vibration frequency is investigated. The formulation is based on the first order shear deformation theory. Geometric nonlinearity is inducted in the formulation considering moderately large deformation effects employing the Sanders type kinematic relations. Governing equations are discretized in space and time domains, respectively, employing computationally efficient finite-strip method and Newmark time marching scheme. Resulting nonlinear algebraic equations are solved using Newton-Raphson iterative technique. A detailed parametric study is conducted to bring out the influence of ovality parameter on the nonlinear vibration characteristics of different modes of vibrations of isotropic and angle-ply oval shells. For isotropic oval shells, it is observed that moderately oval shells show softening type nonlinearity whereas shells of large ovality show hardening type nonlinearity. The response of oval shells with large ovality reveals different temporal variation near to the semi-major axis region compared to that in the semi-minor axis region.
机译:在本研究中,研究了在自由振动频率的光谱附近经受径向谐波激发的夹紧不可移动椭圆形圆柱壳的非线性动态响应。制剂基于第一阶剪切变形理论。考虑到采用桑普兰型运动关系的中度大的变形效果,在制定中引入几何非线性。控制方程分别在空间和时间域中离散,采用计算有效的有限条带方法和纽马克时间行进方案。使用Newton-Raphson迭代技术解决了非线性代数方程。进行了详细的参数研究,以引发椭圆度参数对各向同性和角度椭圆形壳振动不同模式的非线性振动特性的影响。对于各向同性椭圆形壳,观察到中等椭圆形壳展示软化型非线性,而大椭圆形壳显示出硬化型非线性。与大轴区域中的椭圆形壳的响应揭示了与半部轴区域中的半主轴区域附近的不同时间变化。

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