| 计及二阶效应的一种桁架臂几何非线性方法 |
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| 引用本文： | 王欣,喻豪杰,顾振华,胡伟楠. 计及二阶效应的一种桁架臂几何非线性方法[J]. 中国机械工程, 2019, 30(13): 1540 |
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| 作者姓名： | 王欣 喻豪杰 顾振华 胡伟楠 |
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| 作者单位： | 大连理工大学机械工程学院，大连，116023 |
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| 基金项目： | 国家自然科学基金资助项目（51475068） |
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| 摘 要： | 基于二阶效应，运用微分方程法建立承受横向均布载荷压杆在变形位置后的微分方程，将微分方程分解为均承受轴向压力的正弦曲线和二次抛物线曲线的叠加，把变形方程变换成以待定几何参数表达的形式，根据边界条件和平衡条件求解承受横向均布载荷的压杆挠度计算公式；采用该方法对等截面空间桁架臂进行挠度变形分析，并将所求结果与有限元软件ANSYS和ABAQUS非线性分析结果进行对比分析，对比结果验证了所提出方法的可行性与实用性。
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| 关 键 词： | 二阶效应 几何非线性的 微分方程法 桁架臂 |
A Geometric Nonlinear Method of Truss Booms Considering Second Order Effect |
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| WANG Xin,YU Haojie,GU Zhenhua,HU Weinan. A Geometric Nonlinear Method of Truss Booms Considering Second Order Effect[J]. China Mechanical Engineering, 2019, 30(13): 1540 |
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| Authors: | WANG Xin YU Haojie GU Zhenhua HU Weinan |
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| Affiliation: | School of Mechanical Engineering,Dalian University of Technology,Dalian,Liaoning,116023 |
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| Abstract: | Based on the second-order effect, a differential equation of the compressing bars bearing laterally uniformly distributed loads was established under the deformation positions using the differential equation method. Then the differential equation was decomposed into the superposition of sinusoidal and quadratic parabolic curves, which were both under axial pressures. The equation was expressed in the form of undetermined geometric parameters, the deformation equation was obtained by analyzing the boundary conditions and equilibrium conditions. The deformations of the equal cross section space truss booms were analyzed by using this method, comparisons with the results of nonlinear analysis of ANSYS and ABAQUS indicate the proposed method's feasibility and practicability. |
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| Keywords: | second-order effect geometrical nonlinear differential equation method truss boom |
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