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非线性振动

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Then steady forced vibration of the nonlinear Disk spring-mass system under base excitation and force excitation is obtained individually by using the Fourier series analysis and harmonic balance method.

详细探讨了考虑静力载荷影响的、具有弹性非线性和Coulomb摩擦阻尼非线性的碟簧元件的建模和动力学特性,首先利用Fourier级数分析技巧和平均法研究了非线性碟簧-质量系统的自由振动,讨论了影响自由振动的振幅和频率的各种因素,然后利用Fourier级数分析技巧和谐波平衡法研究了地基激励和力激励下非线性碟簧-质量系统的强迫振动,通过详细的参数研究考察了非线性碟簧元件的减振性能特征,最后采用修正的稳定性分析方法研究了两种激励下稳态响应的稳定性。

Also the response amplitude will be changed with the initial conditions due to the nonlinear properties of the cables.Taking the bending stiffness, cable sag and cable inclination into consideration, the space vibration control of the cables using the visco-elastic dampers in cable-stayed bridges is investigated by joining the center difference method and the state space strategy. Both the maximum modal damping ration and the optimal damper size are obtained, then the practical suggestions are proposed for the design of the dampers. The space nonlinear vibration equations of the cable-damper system are derived, and anew hybrid method for solving the cable-damper system is presented by combing the Newmark method and Pseudo-force technology. According to the known properties of the cable-damper system, the nonlinear transient responses are analyzed under all kinds of excitations. Based on the transient response, the control effectiveness of the visco-elastic dampers is further demonstrated.

综合考虑了拉索抗弯刚度、垂度的影响,研究了粘弹性阻尼器对斜拉桥拉索的空间振动控制,联合中心差分方法及状态空间法,得出了拉索面内、外振动各阶模态可能达到的最大阻尼比及相应的最优阻尼器系数,并对斜拉桥拉索的阻尼器设计提出了参考建议:考虑拉索抗弯刚度、垂度及几何非线性,导出了索-阻尼器系统的空间振动非线性方程组,结合Newmark方法及伪力(Pseudo-Force)方法,创新地提出了求解非线性方程组的杂交方法,根据拉索-阻尼器系统的阻尼特性,在各种荷载作用下,对索-阻尼器系统的非线性瞬态振动响应进行了研究,从系统响应的角度更加直接地验证了阻尼器的控制效果。

Though the timing-translocation graph Poincare graph power chart judgechaos, summering the regulation of duffing equation emerging chaos.

通过时程曲线、相平面图、蓬加莱映射、功率谱、分岔图来判断混沌现象,归纳了一类非线性振动系统方程的一些出现混沌现象的规律。

Though the timing-translocation graph Poincare graph power chart judge chaos, summering the regulation of duffing equation emerging chaos.

通过时程曲线、相平面图、蓬加莱映射、功率谱、分岔图来判断混沌现象,归纳了一类非线性振动系统方程的一些出现混沌现象的规律。

In order to study the primary resonance and primary parametric resonance of a rectangular deck plate subject to harmonic disturbances in temperature field, by applying elastic theory, a nonlinear dynamical equation in partial differential form for the plate is established first. Then the nonlinear vibration equation in ordinary differential form is obtained based on Galerkin's method.

为了研究温度场中桥面矩形薄板受简谐激励的主共振-主参数共振问题,应用弹性力学理论建立其动力学方程,应用Galerkin方法将其转化为非线性振动方程。

Taking a single disk rotor with hinged ends as research object, to a different forward and backward whirling type the effect and its innate laws of the magnitude and acting direction of the constant torque on the stability are proposed by means of the eigenvalue theory of real linear systems.

以两端简支的单圆盘转子为对象,利用非线性振动理论的多尺度方法,研究了简谐扭矩作用下具有时变参数激励系统的近似解,指出系统出现不稳定组合式共振的可能性并给出了定常扭矩、简谐扭矩、外阻尼对不稳定区域边界条件的影响。

Heavy haul train ; nonlinear oscillation ; Newmarkβ method ; equilibrium iteration method ; draft gear ; hysteretic characteristic

重载列车;非线性振动; Newmark-β法;平衡迭代法;缓冲器;迟滞特性

This dissertationis based on the requirement of design of modern ICE and the concrete engineering problems of valve system.

重点介绍了非线性振动理论的一些基本问题,包括常用求解方法,解的某些物理性质等。

The dynamic properties of parametrically excited viscoelastic belts are investigated in this dissertation. The main contents are as follows.

研究粘弹性传动带系统和轴向运动弦线的动力学建模、横向非线性振动及其控制问题具有着重要的理论意义和实际应用价值。

Nonlinear vibration phenomena including superharmonics, subharmonics, quasi-subharmonics and chaos in metal plates excited by intensive ultrasonic pulses are studied experimentally and theoretically.

对高功率超声脉冲作用下金属板中的超谐波、次谐波、准次谐波以及混沌等非线性振动现象进行了实验和理论研究。

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