变曲率均质梁结构的振动特性研究

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (2) : 216-224.

论文

变曲率均质梁结构的振动特性研究

于春蕾1，冀浩杰2，孟忠良1,3，卢纪丽1，徐伟1，C.Chiu1

作者信息 +

Vibration characteristics of homogeneous curved beam structures with variable curvatures

YU Chunlei1,JI Haojie2,MENG Zhongliang1,3,LU Jili1,XU Wei1,C.Chiu1

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文章历史 +

摘要

曲梁结构具有外形美观、力学性能好和承载能力强等一系列优点，在建筑、桥梁、船舶和航空航天等领域得到广泛应用。首先，基于一阶剪切变形梁理论和哈密尔顿原理建立四种典型曲梁结构（即圆弧曲梁、椭圆曲梁、抛物曲梁和双曲曲梁）在复杂边界条件下的统一动力学分析模型。其次，对上述曲梁结构模型进行收敛性验证并确定最佳截断数和边界弹簧刚度的取值。再次，对已建立曲梁结构模型进行准确性验证并证明其可以快速求解复杂边界条件下曲梁结构的振动特性。最后，研究结构参数、边界条件和脉冲载荷类型对曲梁结构振动特性的影响。分析结果表明，曲梁结构厚度、弹性边界条件以及脉冲载荷类型对曲梁结构的振动特性具有不同程度的影响。

Abstract

The curved beam structure has a series of advantages including beautiful appearance, good mechanical properties and strong bearing capacity etc and it has been widely used in construction, bridge, ship, aerospace and other fields due to the above advantages. Firstly, a unified dynamic analysis model of curved beams with complex boundary conditions is established by using Hamilton's principle based on the theory of first-order shear deformed beams. Four typical curved beam structures including circular curved beam, elliptic curved beam, parabolic curved beam and hyperbolic curved beam are taken into accounted in this study. Secondly, the convergence of the established curved beam model is verified and the optimal truncation number and boundary spring stiffness are determined according to the above verification. Then, the accuracy of the established curved beam model is verified and it is validated that the established model can quickly solve the vibration characteristics of the curved beam model with complex boundary conditions. Finally, the effects of structural parameters, boundary conditions and pulse load types on the vibration characteristics are investigated and the results show that the thickness, elastic boundary conditions and pulse load types of the curved beam have different degrees of influence on the structure of the curved beam.

导出引用

于春蕾1，冀浩杰2，孟忠良1,3，卢纪丽1，徐伟1，C.Chiu1. 变曲率均质梁结构的振动特性研究[J]. 振动与冲击, 2023, 42(2): 216-224

YU Chunlei1,JI Haojie2,MENG Zhongliang1,3,LU Jili1,XU Wei1,C.Chiu1 . Vibration characteristics of homogeneous curved beam structures with variable curvatures[J]. Journal of Vibration and Shock, 2023, 42(2): 216-224

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