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首页> 外文期刊>Advances in Engineering Software >Dynamic stiffness matrix of non-symmetric thin-walled curved beam on Winkler and Pasternak type foundations
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Dynamic stiffness matrix of non-symmetric thin-walled curved beam on Winkler and Pasternak type foundations

机译：Winkler和Pasternak型地基上非对称薄壁弯梁的动力刚度矩阵

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Using the technical computing program Mathematica, the dynamic stiffness matrix for the spatially coupled free vibration analysis of thin-walled curved beam with non-symmetric cross-section on two-types of elastic foundation is newly presented based on the power series method. For this, the elastic strain energy considering the axial/flexural/torsional coupled terms, the kinetic energy including the rotary inertia effect, and the energy due to the elastic foundation are introduced. Then, equations of motion are derived from the energy principle and explicit expressions for displacement parameters are derived based on power series expansions of displacement components. Finally, the exact dynamic stiffness matrix is determined using force-displacement relations. In order to demonstrate the validity and the accuracy of this study, the natural frequencies of thin-walled curved beams with mono-symmetric and non-symmetric cross-sections are evaluated and compared with the analytical solutions and finite element solutions using Hermitian curved beam elements and ABAQUS's shell elements. In addition, some results by a parametric study are reported. (c) 2006 Elsevier Ltd. All rights reserved.
机译：利用幂运算方法，利用数学计算程序Mathematica，提出了两种类型弹性地基上非对称截面薄壁弯梁的空间耦合自由振动分析的动力刚度矩阵。为此，引入考虑了轴向/弯曲/扭转耦合项的弹性应变能，包括旋转惯性效应的动能以及由于弹性基础而产生的能量。然后，根据能量原理导出运动方程，并基于位移分量的幂级数展开来导出位移参数的明确表达式。最后，使用力-位移关系确定精确的动态刚度矩阵。为了证明本研究的有效性和准确性，对具有单对称和非对称截面的薄壁弯曲梁的固有频率进行了评估，并将其与使用厄米弯曲梁单元的解析解和有限元解进行了比较。和ABAQUS的外壳元素。此外，还报告了一些参数研究的结果。 （c）2006 Elsevier Ltd.保留所有权利。

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