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891.
高速电梯系统时变动力学模型与分析 总被引:1,自引:0,他引:1
以往关于电梯系统的研究指出,引起电梯系统振动的主要原因在于外部激励-由曳引机,承重装置,拖动和控制系统等引起。这是基于经典的结构共振理论得出的结论,但不能解释某些电梯的振动行为。本文从时变结构力学的观点出发,计及电梯曳引钢丝绳的长度随时间变化,建立起电梯系统的变刚度动力学模型,采用解析方法给出了高速电梯弹性振动的位移和加速度响应表达式。从理论上证明作为时变系统的电梯,具有振荡运动的特征,存在由变刚度引起的自激振动。进一步研究表明,电梯提速意味着曳引钢丝绳的初始扰动增大,导致电梯振动的加速度也增大,对电梯的舒适性有负面影响。 相似文献
892.
893.
894.
Codimension two bifurcation of a vibro-bounce system 总被引:1,自引:0,他引:1
Guanwei?LuoEmail author Yandong?Chu Yanlong?Zhang Jianhua?Xie 《Acta Mechanica Sinica》2005,21(2):197-206
A three-degree-of-freedom vibro-bounce system is considered. The disturbed map of period one single-impact motion is derived analytically. A center manifold theorem technique is applied to reduce the Poincaré map to a three-dimensional one, and the normal form map associated with Hopf-flip bifurcation is obtained. Dynamical behavior of the system, near the point of codimension two bifurcation, is investigated by using qualitative analysis and numerical simulation. It is found that near the point of Hopf-flip bifurcation there exists not only Hopf bifurcation of period one single-impact motion, but also Hopf bifurcation of period two double-impact motion. The results from simulation show that there exists an interesting torus doubling bifurcation near the codimension two bifurcation. The torus doubling bifurcation makes the quasi-periodic attractor associated with period one single-impact motion transform to the other quasi-periodic attractor represented by two attracting closed circles. The torus bifurcation is qualitatively different from the typical torus doubling bifurcation occurring in the vibro-impact systems. Different routes from period one single-impact motion to chaos are observed by numerical simulation.The project supported by the National Natural Science Foundation of China (10172042, 50475109) and the Natural Science Foundation of Gansu Province Government of China (ZS-031-A25-007-Z (key item)) 相似文献
895.
本文利用非线性时空有限方法和样条有限元技术对具有初内力的板的非线性频响特性进行了分析,计算了在不同初始内力下方板的大振幅自由振动、有阻尼强迫振动和矩形板的内共振。 相似文献
896.
缓变主流中三维气泡的非线性振动 总被引:1,自引:0,他引:1
空化现象和水下噪声机制与液体中气泡的动力学行为密切相关.在无粘势流的假定下,采用多参数摄动分析,研究了缓变主流中三维气泡的非线性体积模态振动.推导了关于缓变泡形展开的各阶扰动方程,获得了一阶振动的演化方程和一些特殊情况下的解析解;并采用高阶有限元离散的边界积分方程方法,对平面固壁和自由面附近三维气泡的固有频率进行了数值计算 相似文献
897.
898.
The chaotic dynamics of the softening-spring Duffing system with multi-frequency external periodic forces is studied. It is found that the mechanism for chaos is the transverse heteroclinic tori. The Poincare map, the stable and the unstable manifolds of the system under two incommensurate periodic forces were set up on a two-dimensional torus. Utilizing a global perturbation technique of Melnikov the criterion for the transverse interaction of the stable and the unstable manifolds was given. The system under more but finite incommensurate periodic forces was also studied. The Melnikov‘s global perturbation technique was therefore generalized to higher dimensional systems. The region in parameter space where chaotic dynamics may occur was given. It was also demonstrated that increasing the number of forcing frequencies will increase the area in parameter space where chaotic behavior can occur. 相似文献
899.
对近二十年来轴向移动系统(移动弦,移动梁和移动带等)的参数振动研究进展进行了详细的评述,特别关注了轴向张紧力和移动速度随时间改变时轴向移动系统的参数振动特性和稳定性等问题。文章首先讨论了所研究问题的控制方程。然后详细说明了目前研究中人们较为关注的几个重点问题,如参数激励的形式,求解方法和所研究的问题等。接着在其后的两节中,分别评述了在张紧力和移动速度随时间变化时,轴向移动弦和轴向移动梁的振动问题近年来的研究进展,详细、深入讨论了模型的类型、张紧力和轴向移动速度随时间变化的形式以及在研究中使用的解题方法和系统的振动特性(振动响应、固有频率和动态稳定性)等;最后给出了在此领域今后研究中应关注的问题。 相似文献
900.
Non-axisymmetrical vibration of elastic circular plate on layered transversely isotropic saturated ground 总被引:1,自引:0,他引:1
黄小岗 《应用数学和力学(英文版)》2007,28(10):1383-1396
The non-axisymmetrical vibration of elastic circular plate resting on a layered transversely isotropic saturated ground was studied.First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soils were transformed into a group of governing differential equations with 1-order by the technique of Fourier ex- panding with respect to azimuth,and the state equation is established by Hankel integral transform method,furthermore the transfer matrixes within layered media are derived based on the solutions of the state equation.Secondly,by the transfer matrixes,the general solutions of dynamic response for layered transversely isotropic saturated ground excited by an arbitrary harmonic force were established under the boundary conditions, drainage conditions on the surface of.ground as well as the contact conditions.Thirdly, the problem was led to a pair of dual integral equations describing the mixed boundary- value problem which can be reduced to the Fredholm integral equations of the second kind solved by numerical procedure easily.At the end of this paper,a numerical result concerning vertical and radical displacements both the surface of saturated ground and plate is evaluated. 相似文献