Free vibrations of non-circular curved beams resting on Pasternak foundation

机译：在Pasternak基金会上休息的非圆形弯曲梁的自由振动

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摘要

The differential equations governing free, out-of-plane vibrations of non-circular curved beams resting on Pasternak-type foundations are derived and solved numerically. The lowest three natural frequencies are calculated for the parabolic shapes with hinged-hinged and clamped-clamped end constraints. The effects of various system parameters on natural frequencies are investigated.

机译：管理和解在数值上的无圆形弯曲梁的非圆形弯曲梁的平面外振动的微分方程。对于具有铰接铰接和夹紧夹紧的终端约束的抛物线形状计算最低三个自然频率。研究了各种系统参数对自然频率的影响。

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《Asian-Pacific Congress on Computational Mechanics》|2001年||共6页
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作者
Byoung Koo Lee; Kwang Kyou Park; Sang Jin Oh; Tae Gi Jin;
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中图分类 O302-53;
关键词
Free vibration; Non-circular curved beam; Pasternak foundation; Rotatory inertia; Shear deformation;

机译：自由振动;非圆形弯曲梁;Pasternak基础;旋转惯性;剪切变形;

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专利

1. Free vibrations of anisotropic doubly-curved shells and panels of revolution with a free-form meridian resting on Winkler-Pasternak elastic foundations [J] . Francesco Tornabene Composite Structures . 2011,第1期

机译：各向异性双曲壳和旋转面板的自由振动，自由子午线位于Winkler-Pasternak弹性地基上
2. Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations [J] . Joon Kyu Lee, Sangseom Jeong Applied Mathematical Modelling . 2016,第3期

机译：Pasternak基础上水平弯曲梁的弯曲和扭转自由振动
3. Free-Form Laminated Doubly-Curved Shells and Panels of Revolution Resting on Winkler-Pasternak Elastic Foundations: A 2-D GDQ Solution for Static and Free Vibration Analysis [J] . Francesco Tornabene, Alessandro Ceruti World Journal of Mechanics . 2013,第1期

机译：自由形式层压双弯曲壳牌和革命面板休息在Winkler-Pasternak弹性基础上：用于静态和自由振动分析的2-D GDQ解决方案
4. Free vibrations of non-circular curved beams resting on Pasternak foundation [C] . Byoung Koo Lee, Kwang Kyou Park, Sang Jin Oh, Asian-Pacific Congress on Computational Mechanics . 2001

机译：在Pasternak基金会上休息的非圆形弯曲梁的自由振动
5. Application of Groebner Bases to Geometrically Nonlinear Analysis of Rectangular Composite Plates Resting on a Pasternak Foundation [D] . Perry, Colin G. 2018

机译：Groebner基座在基于Pasternak地基的矩形组合板几何非线性分析中的应用。
6. Free vibration of a piezoelectric nanobeam resting on nonlinear Winkler-Pasternak foundation by quadrature methods [O] . Ola Ragb, Mokhtar Mohamed, M.S. Matbuly 2019

机译：基于正交方法的非线性Winkler-Pasternak基础上压电纳米束的自由振动
7. Free-form laminated doubly-curved shells and panels of revolution resting on Winkler-Pasternak elastic foundations: a 2-D GDQ solution for static and free vibration analysis [O] . Francesco Tornabene, Ro Ceruti 2016

机译：Winkler-pasternak弹性地基上的自由叠层双弯曲壳和旋转板：用于静态和自由振动分析的2-D GDQ解决方案

Free vibrations of non-circular curved beams resting on Pasternak foundation

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