ANALYSIS OF FLEXURAL-FLEXURAL-TORSIONAL NONLINEAR VIBRATIONS OF TWISTED ROTATING BEAMS WITH CROSS-SECTIONAL DEPLANATION

K. V. Avramov; O. S. Galas; O. K. Morachkovskii

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ANALYSIS OF FLEXURAL-FLEXURAL-TORSIONAL NONLINEAR VIBRATIONS OF TWISTED ROTATING BEAMS WITH CROSS-SECTIONAL DEPLANATION

机译：横断面扭转旋转梁的挠曲-弯扭非线性振动分析

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We present results of the investigations on flexural-flexural-torsional nonlinear vibrations of twisted rotating beams described by the system of three nonlinear integro-differential equations expressed in partial derivatives. Cross-sectional deplanation of beams is adjusted to the equations and it is assumed that centre of gravity and shear centre are located at different points. Vibration systems are expressed as a row by free forms of the linear problem. Free vibrations are studied with the help of the Show--Pierre nonlinear normal mode.

机译：我们介绍了由三个偏导数表示的非线性积分-微分方程组描述的扭转旋转梁的弯曲-弯曲-扭转非线性振动的研究结果。将梁的横截面偏斜调整为方程式，并假定重心和剪切中心位于不同的点。振动系统通过自由形式的线性问题表示为一行。借助Show-Pierre非线性法线模式研究自由振动。

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《Strength of Materials》 |2009年第2期|共9页
作者
K. V. Avramov; O. S. Galas; O. K. Morachkovskii;
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正文语种 eng
中图分类工程材料学;
关键词
flexural-flexural-torsional vibrations; nonlinear normal mode method; backbone curves;

机译：弯曲-弯曲-扭转振动;非线性正态方法;主干曲线;

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1. ANALYSIS OF FLEXURAL-FLEXURAL-TORSIONAL NONLINEAR VIBRATIONS OF TWISTED ROTATING BEAMS WITH CROSS-SECTIONAL DEPLANATION [J] . K. V. Avramov, O. S. Galas, O. K. Morachkovskii Strength of Materials . 2009,第2期

机译：横断面扭转旋转梁的挠曲-弯扭非线性振动分析
2. NONLINEAR EQUATIONS OF FLEXURAL-FLEXURAL-TORSIONAL OSCILLATIONS OF ROTATING BEAMS WITH ARBITRARY CROSS-SECTION [J] . K. V. Avramov, C. Pierre, N. V. Shyriaieva International Applied Mechanics . 2008,第5期

机译：任意截面旋转梁的弯曲-挠曲-扭转振动非线性方程
3. Free vibration analysis of pre-twisted rotating FGM beams [J] . M. N. V. Ramesh, N. Mohan Rao International journal of mechanics and materials in design . 2013,第4期

机译：预扭转FGM梁的自由振动分析
4. FREE VIBRATION ANALYSIS OF UNIFORM AND ASYMMETRIC COMPOSITE PRETWISTED ROTATING THIN WALLED BEAM [C] . Touraj Farsadi, Oezguen Sener, Altan Kayran ASME international mechanical engineering congress and exposition . 2018

机译：均匀和不对称复合预旋转薄壁梁的自由振动分析
5. Cross-sectional analysis of initially twisted and curved composite beams. [D] . Cesnik, Carlos Eduardo Stolf. 1994

机译：初始扭曲和弯曲的组合梁的截面分析。
6. A Tri-Stable Piezoelectric Vibration Energy Harvester for Composite Shape Beam: Nonlinear Modeling and Analysis [O] . Xuhui Zhang, Meng Zuo, Wenjuan Yang, 2020

机译：复合形状梁的三稳态压电振动能量采集器：非线性建模与分析
7. Nonlinear flap-lag-extensional vibrations of rotating, pretwisted, preconed beams including Coriolis effects [O] . Subrahmanyam K. B., Kaza K. R. V. 1985

机译：包括科里奥利效应在内的旋转，预扭曲，预锥形梁的非线性襟翼滞后延伸振动
8. Nonlinear flap-lag-extensional vibrations of rotating, pretwisted, preconed beams including Coriolis effects [R] . Subrahmanyam, K. B., Kaza, K. R. V. 1985

机译：旋转，预扭曲，预先对抗梁的非线性襟翼 - 拉伸 - 拉伸振动，包括科里奥利效应

ANALYSIS OF FLEXURAL-FLEXURAL-TORSIONAL NONLINEAR VIBRATIONS OF TWISTED ROTATING BEAMS WITH CROSS-SECTIONAL DEPLANATION

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