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Large Amplitude Flexural Vibration of Thin Elastic Flat Plates and Shells

机译：薄弹性平板和壳体的大幅度弯曲振动

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The general equations governing the large amplitude flexural vibration of any thin elastic shell using curvilinear orthogonal coordinates are derived and consist of two coupled, nonlinear, partial differential equations in the normal displacement w and the stress function F. From these equations, the governing equations for the case of shells of revolution or flat plates can be readily obtained as special cases. The material of the shell or plate is isotropic and homogeneous and Hooke's law for the two-dimensional case is valid. It is suggested that the difference between the hardening type of nonlinearity in the case of flat plates and straight beams and the softening type of nonlinearity in the case of shells and rings can, in general, be traced to the amount of curvature present in the underformed median surface of the structure concerned. (Author)

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Pandalia, K. A. V.;
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年度 1972
页码 p.1-89
总页数 89
原文格式 PDF
正文语种 eng
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关键词
Bending vibration ; Thin plates ; Thin walled shells ; Displacement ; Elastic bending ; Hookes law ; Nonlinearity ; Orthogonal functions ; Partial differential equations;

机译：弯曲振动;薄板;薄壁壳;位移;弹性弯曲; Hookes定律;非线性;正交函数;偏微分方程;

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1. The effects of large vibration amplitudes on the mode shapes and natural frequencies of thin elastic shells. Part II: A new approach for free transverse constrained vibration of cylindrical shells [J] . Moussaoui F., Benamar R., White RG. Journal of Sound and Vibration . 2002,第5期

机译：大的振动幅度对薄弹性壳的振型和固有频率的影响。第二部分：圆柱壳自由横向约束振动的新方法
2. THE EFFECTS OF LARGE VIBRATION AMPLITUDES ON THE MODE SHAPES AND NATURAL FREQUENCIES OF THIN ELASTIC SHELLS, PART I: COUPLED TRANSVERSE-CIRCUMFERENTIAL MODE SHAPES OF ISOTROPIC CIRCULAR CYLINDRICAL SHELLS OF INFINITE LENGTH [J] . F. Moussaoui, R. Benamar, R. G. White Journal of Sound and Vibration . 2000,第5期

机译：大振动振幅对薄型弹性壳的模态形状和固有频率的影响，第一部分：无限长的各向同性圆圆柱壳的横越-周向模态形状耦合
3. Large amplitude flexural vibration analysis of tapered plates with edges elastically restrained against rotation using DQM [J] . P. Malekzadeh, G. Karami Engineering Structures . 2008,第10期

机译：使用DQM弹性抑制旋转的锥形板的大振幅挠曲振动分析
4. Elastic metamaterial with hexagonal prism inclusion for flexural vibration control of a thin plate structure [C] . Cong Gao, Dunant Halim, Xiaosu Yi International Congress and Exposition on Noise Control Engineering . 2020

机译：具有六角形棱镜的弹性超材料，包括薄板结构的弯曲振动控制
5. FORCED VIBRATION OF THIN ELASTIC SHELLS WITH APPLICATION TO FRACTIONAL HORSEPOWER HERMETIC REFRIGERATION COMPRESSOR SHELLS. [D] . BROOKBANK, EARL BRUCE, III. 1978

机译：薄型弹性壳体的强制振动及其在分数马力气密制冷压缩机壳体中的应用。
6. Data on the flexural vibration of thin plate with elastically restrained edges: Finite element method and wave based method simulations [O] . Ling Liu, Roberto Corradi, Francesco Ripamonti, 2020

机译：具有弹性束缚边缘薄板弯曲振动的数据：有限元方法与波的方法模拟
7. Flexural Vibrations and Wave Propagation of an Infinite Thin Elastic Plate with Circular Inclusions : 2nd Report, Cases of a Thin Plate Having Many Circular Elastic Inclusions [O] . Kosuke NAGAYA, Hideo SAITO 1974

机译：具有圆形夹杂物的无限薄弹性板的弯曲振动和波传播：第二报告，具有许多圆形弹性夹杂物的薄板的情况

Large Amplitude Flexural Vibration of Thin Elastic Flat Plates and Shells

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