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线性模态
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  linear modes
     The principle suggests that the nonlinear vibration system with n degrees of freedom (DOF) have not less than n nonlinear modes, and the n nonlinear modes are formally corresponding to the n linear modes of the corresponding linear vibration system of the nonlinear one, no matter what the nonlinear vibration system possesses either similar modes or dissimilar ones.
     该原理指出 :无论非线性振动系统具有相似模态还是具有非相似模态 ,n个自由度的非线性振动系统至少具有n个非线性模态 ,且这n个非线性模态形式上对应于该非线性振动系统对应的线性振动系统的n个线性模态 .
短句来源
     The principle suggests that a nonlinear vibration system with n degrees of freedom has no less than n nonlinear modes that correspond to n linear modes of the corresponding linear vibration system, no matter the nonlinear vibration system possesses either similar normal modes or dissimilar ones.
     非线性模态对应原理指出:无论非线性振动系统具有相似模态还是具有非相似模态,n个自由度的非线性振动系统至少具有n个非线性模态,且这n个非线性模态形式上对应于该非线性振动系统对应的线性振动系统的n个线性模态
     The principle suggests that a nonlinear vibration system with n degrees of freedom has no less than n nonlinear modes that correspond to n linear modes of the corresponding linear vibration system, no matter the nonlinear vibration system possesses either similar normal modes or dissimilar ones.
     非线性模态对应原理指出 :无论非线性振动系统具有相似模态还是具有非相似模态 ,n个自由度的非线性振动系统至少具有n个非线性模态 ,且这n个非线性模态形式上对应于该非线性振动系统对应的线性振动系统的n个线性模态
短句来源
     The linear modes of spatial reinforced concrete staggered vierendeel truss are analyzed by finite element software.
     利用有限元分析软件,对空间钢筋混凝土交错空腹桁架结构进行线性模态分析.
短句来源
     In this paper, the mode function of the nonlinear vibration of rectangular plate is expanded as a series of products of beam functions and B-spline functions. By the use of the Hamilton principle, the differential equations of the system have been derived, from which the displacements of the plate indicating the multiple linear modes and the nonlinear frequency retios are obtained.
     本文将非线性振动矩形板的振型函数展开为梁函数和B样条函数的乘积形式,由哈密顿原理导出了系统的运动微分方程,得到了以多个线性模态表示的大振幅振动权的位移和非线性频率比。
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  “线性模态”译为未确定词的双语例句
     Multi-Degree-of-Freedom Linear Modal Analysis and Application in Bridge Testing
     多自由度线性模态分析及其在桥梁检测中的应用
短句来源
     The extensive applications of linear modal analysis and the existing nonlinear factors in vibratory systems make it necessary that nonlinear modal analysis is developed.
     传统的模态分析理论在工程实际中的广泛应用以及振动问题中普遍存在的非线性因素,使线性模态理论向非线性模态理论发展成为必然。
短句来源
     With this kind of uncertainty, the supply chain becomes nonlinear and can be modeled as a switched system with threesubsystems.
     这种不确定性导致系统的模型非线性,可视作由三个线性模态组成的切换系统。
短句来源
     The frequency estimate based on this method is an approximative minimum variance unbiased (MVU) estimator.
     由“相关法”确定的频率估计为最小方差无偏估计(MVU)。 扭秤运动的“反常模式”曾长期困扰我们,通过线性模态分析得不到“反常模式”的频率,这表明人们长期以来将扭秤作为线性谐振子的假设过于简化。
短句来源
     Then,generalized wind force coefficients of bend-mode、shear-mode and linear mode are presented,effects of mode、side ratio and aspect ratio on generalized wind force spectrum are also studied to prepare for wind-induced response analysis and structure preliminary design.
     另外,得出了弯曲、剪切和线性模态下的广义风力系数,分析了模态、长宽比和高宽比对广义风力谱的影响,为风振响应分析做准备;
短句来源
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  相似匹配句对
     MODES DECOUPLING CONTROL FOR LINEAR SYSTEMS
     线性系统的模态解耦控制
短句来源
     Modal control and time-delay compensation of linear systems
     线性系统模态控制及其时滞补偿
短句来源
     Linear-fitting Method
     线性拟合法
短句来源
     Linear Prediction
     线性预测
短句来源
     Modal Interpretation of Quantum Mechanics
     量子力学的模态解释
短句来源
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  linear modes
In linear modes, it is possible to realize a time delay and form the correlation function of modulated pulses.
      
The interaction of solitons and magnons (linear modes) of the Sine-Gordon equation is studied.
      
The motion and the linear modes of a uniformly driven kink (domain wall) in the damped φ4-chain are examined in classical continuum approximation.
      
Initial non-uniform motion of the driven and dampedΦ4 kink and dynamics of its linear modes
      
The dynamics of the driven and dampedΦ4 kink exhibits a non-uniform onset of the center-of-kink motion and consequently a corresponding generalized relaxation of its linear modes.
      
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The paper presents a method of modal analysis which is applicable to nonlinear vibration systems. By means of the method, the problem of finding principal modes of nonlinear systems is transferred to the problem of finding nonlinear eigenvalues and eigenvectors. The linear modes of nonlinear conservative systems, autonomous systems and nonautonomous systems are analyzed. And three modal inclusion principles are deduced.

本文提出了一种用于非线性振动系统的模态分析方法,将求解非线性系统模态的问题化为求解非线性特征值、特征向量的问题,利用模态研究系统的响应,文中分析了非线性保守系统、非线性自治系统和非线性非自治系统的线性模态,导出了三个模态包含原理。

This paper describes the free vibration of cantilever beam with additional

本文研究了具有附加单面点约束的悬臂梁,由指定的初始条件诱发的有阻尼自由振动问题,提出了求解具有双线性或分段线性的连续系统多线性模态振动的时间子域法。用该法进行求解和数值计算,所得到的结果与实验结果有良好的一致性,因而能成功地解释实验中所发现的,该系统在作衰减自由振动时表现出的种种有趣的动力行为,诸如,附加单面支撑点反力幅值的调制现象等等。

In this paper,the perturbation technique is introduced into the method of harmonic balance. A new method used for analysing nonlinear free vibration of multidegree-of-freedom systems and structures is obtained. The form of solution is expanded into a series of Small parameters and harmonics, so no term will be lost in the solution and the algebric equations are linear. With the linear transformations,the matrices of the equations become diagonal. As soon as the modes related to linear vibration are found ,the...

In this paper,the perturbation technique is introduced into the method of harmonic balance. A new method used for analysing nonlinear free vibration of multidegree-of-freedom systems and structures is obtained. The form of solution is expanded into a series of Small parameters and harmonics, so no term will be lost in the solution and the algebric equations are linear. With the linear transformations,the matrices of the equations become diagonal. As soon as the modes related to linear vibration are found ,the solution can be obtained. This method is superior to the method of linearized iteration. The examples show that the method has high accuracy for small amplitude problems and the results for rather large amplitude are satisfactory.

本文在谐波平衡法的基础上,引入摄动的思想,得出了解多自由度系统及结构的非线性自由振动的新方法。其解的形式为小参数和谐波的级数形式,因此,其解不会遗漏任何项,方程为线性的代数方程;利用线性变换,将系数矩阵变换为对角阵,一旦求出线性模态,就可得其解,比线性化迭代法优越得多。算例表明,本文方法对于小振幅有较高的精度,对于较大振幅其结果也是令人满意的。

 
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