In previous studies about the synchronization of vibrators,the restoring forces of springs are mainly treated as linear directly,whereas the nonlinear features are rarely considered in vibrating systems.To make up thi...In previous studies about the synchronization of vibrators,the restoring forces of springs are mainly treated as linear directly,whereas the nonlinear features are rarely considered in vibrating systems.To make up this drawback,a dynamical model of a nonlinear vibrating mechanical system with double rigid frames(RFs),driven by two vibrators,is proposed to explore the synchronization and stability of the system.In this paper,the nonlinearity is reflected in nonlinear restoring forces of springs characterized by asymmetrical piecewise linear,where the nonlinear stiffness of springs is linearized equivalently using the asymptotic method.Based on the average method and Hamilton’s principle,the theory conditions to achieve synchronization and stability of two vibrators are deduced.After the theory analyses,some numerical qualitative analyses are given to reveal the coupling dynamical characteristics of the system and the relative motion properties between two RFs.Besides,some experiments are carried out to examine the validity of the theoretical results and the correctness of the numerical analyses results.Based on the comparisons of the theory,numeric and experiment,the ideal working regions of the system are suggested.Based on the present work,some new types of vibrating equipment,such as vibrating discharging centrifugal dehydrators/conveyers/screens,can be designed.展开更多
不稳定燃烧是固体火箭发动机的一种不正常的工作状态,这种不稳定燃烧可使燃烧室压强振荡的振幅达到相当大的量级,使发动机产生强烈的振动,可能使燃烧室壳体或推进剂装药受到破坏,从而引起发动机爆炸.利用大型有限元分析软件AN SY S对固...不稳定燃烧是固体火箭发动机的一种不正常的工作状态,这种不稳定燃烧可使燃烧室压强振荡的振幅达到相当大的量级,使发动机产生强烈的振动,可能使燃烧室壳体或推进剂装药受到破坏,从而引起发动机爆炸.利用大型有限元分析软件AN SY S对固体火箭发动机壳体进行了模态分析,并获得了对其强度和性能影响强烈的频率,此结果对研究固体火箭发动机的动力学特性及不稳定燃烧进行了理论分析、预测和防止压强发生振荡具有重要作用.展开更多
基金National Natural Science Foundations of China(Grant No.52075085)Fundamental Research Funds for the Central Universities of China(Grant No.N2103019).
文摘In previous studies about the synchronization of vibrators,the restoring forces of springs are mainly treated as linear directly,whereas the nonlinear features are rarely considered in vibrating systems.To make up this drawback,a dynamical model of a nonlinear vibrating mechanical system with double rigid frames(RFs),driven by two vibrators,is proposed to explore the synchronization and stability of the system.In this paper,the nonlinearity is reflected in nonlinear restoring forces of springs characterized by asymmetrical piecewise linear,where the nonlinear stiffness of springs is linearized equivalently using the asymptotic method.Based on the average method and Hamilton’s principle,the theory conditions to achieve synchronization and stability of two vibrators are deduced.After the theory analyses,some numerical qualitative analyses are given to reveal the coupling dynamical characteristics of the system and the relative motion properties between two RFs.Besides,some experiments are carried out to examine the validity of the theoretical results and the correctness of the numerical analyses results.Based on the comparisons of the theory,numeric and experiment,the ideal working regions of the system are suggested.Based on the present work,some new types of vibrating equipment,such as vibrating discharging centrifugal dehydrators/conveyers/screens,can be designed.
文摘不稳定燃烧是固体火箭发动机的一种不正常的工作状态,这种不稳定燃烧可使燃烧室压强振荡的振幅达到相当大的量级,使发动机产生强烈的振动,可能使燃烧室壳体或推进剂装药受到破坏,从而引起发动机爆炸.利用大型有限元分析软件AN SY S对固体火箭发动机壳体进行了模态分析,并获得了对其强度和性能影响强烈的频率,此结果对研究固体火箭发动机的动力学特性及不稳定燃烧进行了理论分析、预测和防止压强发生振荡具有重要作用.
