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首页> 外文期刊>International Journal of Mechanical Sciences >Free and forced vibration analysis of non-uniformly supported cylindrical shells through wave based method
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Free and forced vibration analysis of non-uniformly supported cylindrical shells through wave based method

机译：通过基于波法的非均匀支撑圆柱形壳体的自由和强制振动分析

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摘要

This paper presents a unified analytic method, wave based method (WBM), to investigate free and forced vibrations of non-uniformly supported cylindrical shells. WBM is involved in decomposing the cylindrical shell to several shell segments according to locations of interior supports and excitations. Flugge shell theory is adopted to describe motions of segments. Displacement functions are expanded as wave functions, rather than general trigonometric functions or polynomials, and they can accurately satisfy both motion equations and boundary conditions. Two kinds of non-uniform supports, point and line ones, are consistently considered through discrete artificial springs. Boundary and continuity conditions modified by supports and excitations are assembled to the governing equation. To. examine accuracy of WBM, vibration results of cylindrical shells subjected to different supports are firstly compared with the ones in literature and calculated by finite element method, which demonstrates high accuracy and wide application of WBM. Some mode shapes are also presented to visually illustrate coupling effects of different modes. Furthermore, influences of stiffness constants of springs, point supports and structural damping are discussed. They reveal that fundamental frequencies can be maximumly increased as point supports equally spaced in circumferential direction. (C) 2017 Elsevier Ltd. All rights reserved.
机译：本文介绍了一种统一的分析方法，Wave的方法（WBM），研究了非均匀支撑的圆柱形壳体的自由和强制振动。 WBM根据内部支撑和激励的位置涉及将圆柱形壳体分解到几个壳体段。采用了拖壳理论来描述细分的动作。位移函数被扩展为波函数，而不是一般三角函数或多项式，它们可以准确地满足运动方程和边界条件。通过离散的人造弹簧一致地考虑两种非均匀支撑，点和线路。通过支持和激励修改的边界和连续性条件被组装到控制方程。到。检查WBM的准确性，首先将对不同支撑件进行不同支撑的圆柱形壳的振动结果与文献中的有限元方法计算，并通过有限元方法计算，这证明了WBM的高精度和广泛应用。还介绍了一些模式形状以在视觉上示出不同模式的耦合效果。此外，讨论了弹簧，点支撑和结构阻尼的刚度常数对刚度常数的影响。它们揭示了当点支撑在圆周方向上同样间隔的点支撑时，基本频率可以最大程度地增加。 （c）2017 Elsevier Ltd.保留所有权利。

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