Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations

Joon Kyu Lee; Sangseom Jeong

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Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations

机译：Pasternak基础上水平弯曲梁的弯曲和扭转自由振动

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摘要

This study investigates the out-of-plane free vibrations of curved beams with variable curvature on a Pasternak foundation. The governing differential equations of motion are derived based on Timoshenko beam theory, and the Runge-Kutta method and the determinant search method combined with the Regula-Falsi method are used to solve the problem. The natural frequencies and mode shapes of selected cases are presented with various end constraints, which are analyzed to highlight the effects of the parameters related to curve shape, section geometry, rotatory and torsional inertias, and foundation stiffness. Experiments are conducted to verify the proposed model.

机译：这项研究研究了在Pasternak地基上曲率可变的弯曲梁的平面外自由振动。基于蒂莫申科梁理论推导了支配的运动微分方程，并采用了Runge-Kutta方法和行列式搜索方法以及Regula-Falsi方法相结合的方法来解决该问题。所选案例的固有频率和振型具有各种末端约束，可以对其进行分析以突出显示与曲线形状，截面几何形状，旋转和扭转惯性以及基础刚度相关的参数的影响。进行实验以验证提出的模型。

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来源
《Applied Mathematical Modelling》 |2016年第3期|2242-2256|共15页
作者
Joon Kyu Lee; Sangseom Jeong;
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作者单位

Department of Civil and Environmental Engineering, Yonsei University, 50 Yonsei-ro, Seodaemun-gu, Seoul, 120-749, Korea;

Department of Civil and Environmental Engineering, Yonsei University, 50 Yonsei-ro, Seodaemun-gu, Seoul, 120-749, Korea;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Curved beam; Variable curvature; Pasternak foundation; Natural frequency;

机译：弯梁可变曲率Pasternak基金会;固有频率;

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专利

1. Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation [J] . Joon Kyu Lee, Sangseom Jeong, Jaehwan Lee Soils and foundations . 2014,第6期

机译：Pasternak地基上梁的弯曲和扭转振动的固有频率
2. 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
3. TORSIONAL VIBRATIONS OF DOUBLY-SYMMETRIC THIN-WALLED I-BEAMS RESTING ON WINKLER-PASTERNAK FOUNDATION USING DYNAMIC MATRIX METHOD [J] . A. SAI KUMAR, K. SRINIVASA RAO International Journal of Civil, Structural, Environmental and Infrastructure Engineering Research and Development . 2016,第1期

机译：基于动态矩阵法的双对称薄壁工字梁在温克勒-巴斯德纳克地基上的扭转振动
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. FREE VIBRATION ANALYSIS WITH BEAM MODELS WHICH INCLUDE BENDING WARPING, TORSION WARPING AND ANTICLASTIC BENDING EFFECTS. [D] . EWING, MARK STEPHAN. 1983

机译：使用梁模型的自由振动分析，其中包括弯曲翘曲，扭转翘曲和抗弯弯曲效果。
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. Natural frequencies for flexural and torsional vibrations of beams on Pasternak foundation [O] . Lee Joon Kyu, Jeong Sangseom, Lee Jaehwan 2014

机译：Pasternak地基上梁的弯曲和扭转振动的固有频率

Flexural and torsional free vibrations of horizontally curved beams on Pasternak foundations

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