In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling...In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.展开更多
针对工业机器人末端作业时轴向低频隔振难的问题,设计一种由等边六边形拉簧装置和正刚度弹簧组构成的轴向准零刚度(Quasi Zero Stiffness,QZS)隔振器。首先,通过静力学分析初始高度对等边六边形拉簧装置负刚度性能和隔振器刚度特性的影...针对工业机器人末端作业时轴向低频隔振难的问题,设计一种由等边六边形拉簧装置和正刚度弹簧组构成的轴向准零刚度(Quasi Zero Stiffness,QZS)隔振器。首先,通过静力学分析初始高度对等边六边形拉簧装置负刚度性能和隔振器刚度特性的影响;其次,建立非线性动力学方程,应用谐波平衡法推导力传递率,通过数值仿真分析振动幅值、阻尼比、初始高度和负载对力传递率的影响。最后,在不同外部激励下对轴向QZS隔振器和线性隔振器进行实验研究,并将实验结果与四阶龙格库塔法求解的加速度响应进行对比。结果表明:轴向QZS隔振器在载荷为20~80 N时能隔离3.2~20 Hz的振动;相较于其对应的线性隔振器,该隔振器的固有频率降低到1.8 Hz,起始隔振频率降低76.6%,隔振频带增宽166.7%。展开更多
文摘In this article, we propose a generalized exp(-Φ(ξ))-expansion method and successfully implement it to find exact traveling wave solutions to the fifth order standard Sawada-Kotera (SK) equation. The exact traveling wave solutions are established in the form of trigonometric, hyperbolic, exponential and rational functions with some free parameters. It is shown that this method is standard, effective and easily applicable mathematical tool for solving nonlinear partial differential equations arises in the field of mathematical physics and engineering.
