A proof on eigenfrequencies of a special linear vibration system

Weber Wolfgang; Anders Bernd; Mueller Peter C.

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A proof on eigenfrequencies of a special linear vibration system

机译：特殊线性振动系统本征频率的证明

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In this contribution the eigenfrequencies of a special linear vibration system are investigated. Based on the properties of the corresponding mass and stiffness matrices of the chain structured mass-spring vibration system with arbitrary n degrees of freedom an algebraic proof for the determination of the eigenfrequencies is given. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

机译：为此，研究了一种特殊的线性振动系统的本征频率。基于具有任意n个自由度的链式质量弹簧振动系统的相应质量和刚度矩阵的性质，给出了确定本征频率的代数证明。（C）2014 WILEY-VCH Verlag GmbH＆Co.KGaA，Weinheim

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《Zeitschrift fur Angewandte Mathematik und Mechanik》 |2015年第5期|共8页
作者
Weber Wolfgang; Anders Bernd; Mueller Peter C.;
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正文语种 eng
中图分类应用数学;力学;
关键词
Eigenfrequency; natural frequency; eigenvalue; Mikota's conjecture; mass-spring vibration system; multibody dynamics;

机译：本征频率;固有频率;本征值;Mikota猜想;质量弹簧振动系统;多体动力学;

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1. A proof on eigenfrequencies of a special linear vibration system [J] . Weber Wolfgang, Anders Bernd, Mueller Peter C. Zeitschrift fur Angewandte Mathematik und Mechanik . 2015,第5期

机译：特殊线性振动系统本征频率的证明
2. A Technique for Estimation of the Errors in Measurements of the Phase-Frequency Characteristics of Nonlinear Vibration-Proof Systems [J] . Varzhitskii L. A. Measurement techniques . 2016,第8期

机译：非线性防振系统相频特性测量误差的估算技术
3. Special Section on Nonlinear Vibration in Mechanical Systems and Its Control: from Nano to Macro [J] . 電子情報通信学会誌 . 2012,第8期

机译：机械系统非线性振动及其控制的特殊部分：从纳米到宏观
4. An Investigation into the Nonlinear Vibration Response of a Beam: PZT Stack and Proof-Mass System [C] . Xishan Jiang, Jie Pan International congress on exposition noise control engineering . 2018

机译：梁的非线性振动响应研究：PZT叠层和质量证明系统
5. SYSTEMATIC STUDIES OF MOLECULAR VIBRATIONAL ANHARMONICITY AND VIBRATION-ROTATION INTERACTION BY SELF-CONSISTENT-FIELD HIGHER DERIVATIVE METHODS: APPLICATIONS TO ASYMMETRIC AND SYMMETRIC TOP AND LINEAR POLYATOMIC MOLECULES [D] . CLABO, DAVID ALLEN, JR. 1987

机译：自洽场高级导数法对分子振动无性和振动-旋转相互作用的系统研究：在不对称和对称顶部及线性多原子分子中的应用
6. Generalized Vibrational Perturbation Theory for Rotovibrational Energies of Linear Symmetric and Asymmetric Tops: Theory Approximations and Automated Approaches to Deal with Medium-to-Large Molecular Systems [O] . Matteo Piccardo, Julien Bloino, Vincenzo Barone -1

机译：线性对称和不对称陀螺的旋转振动的广义振动摄动理论：处理中到大型分子系统的理论逼近和自动方法
7. Erratum: “On Vibrations of a System With an Eigenfrequency Identical to That of One of Its Subsystems, Part 2” (ASME Journal of Vibration and Acoustics, 1996, 118, pp. 414–416) [O] . A. V. Pesterev, L. A. Bergman 1996

机译：错误：“关于特征频率的系统的振动与其子系统之一，第2部分”（Asme振动和声学，1996,118，PP。414-416）

A proof on eigenfrequencies of a special linear vibration system

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