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首页> 外文期刊>Composite Structures >The nonlinear, third-order thickness and shear deformation theory for statics and dynamics of laminated composite shells
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The nonlinear, third-order thickness and shear deformation theory for statics and dynamics of laminated composite shells

机译：用于层压复合壳的静态和动力学的非线性，三阶厚度和剪切变形理论

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摘要

The present study introduces a rigorous higher-order polynomial in the thickness coordinate to develop a theory with thickness and shear deformations for doubly curved, laminated composite shells. In this theory, the nonlinear terms in all the kinematic parameters are kept. By applying the conditions of zero transverse normal and shear stresses at the top and bottom surfaces of shells, a third-order thickness and shear deformation theory with six kinematic parameters is derived. This is a particularly interesting result since the developed theory presents a single additional parameter to describe the thickness deformation with respect to the popular Reddy's third-order shear deformation theory, which has five parameters. The accuracy of the proposed six-parameter theory is tested for static and dynamic benchmark cases. Results are also very satisfactorily compared to those obtained with a more sophisticated and computationally onerous nine-parameter theory. The considered cases are isotropic and cross-ply laminated circular cylindrical shells under radial forces and pressure, and nonlinear forced vibrations of a cross-ply laminated shell under harmonic radial excitation.
机译：本研究在厚度坐标中引入了严格的高阶多项式，以开发具有双弯曲的层压复合壳的厚度和剪切变形的理论。在本文中，保持所有运动参数中的非线性术语。通过在壳的顶部和底表面上施加零横向正常和剪切应力的条件，推导了具有六个运动参数的三阶厚度和剪切变形理论。这是一种特别有趣的结果，因为发发理论具有单个附加参数来描述相对于流行的Reddy的三阶剪切变形理论的厚度变形，其具有五个参数。建议的六参数理论的准确性用于静态和动态基准情况。结果也非常令人满意地与以更复杂和计算的繁重的九参数理论获得的结果非常令人满意。被认为的病例是在径向力和压力下的各向同性和交叉层叠圆形圆柱形圆柱形，并且在谐波径向激发下的交叉层层压壳的非线性强制振动。

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