具有纯立方刚度的非线性能量阱因具有宽频吸振能力而受到广泛关注。本文研究了纯立方刚度在实现过程中存在较小偏差时,非线性能量阱(Nonlinear energy sink,NES)的失效情况,定量研究了由于安装误差等导致的正或负线性刚度对非线性能量...具有纯立方刚度的非线性能量阱因具有宽频吸振能力而受到广泛关注。本文研究了纯立方刚度在实现过程中存在较小偏差时,非线性能量阱(Nonlinear energy sink,NES)的失效情况,定量研究了由于安装误差等导致的正或负线性刚度对非线性能量阱吸振效能的影响。研究结果显示,单自由度吸振器具有一定的误差许可范围,相对而言,吸振器具有负线性刚度时,误差许可范围较大。对于串联两自由度吸振器,随着两级吸振器的正线性刚度的增加,吸振效能均迅速下降,两级吸振器对于负线性刚度的误差许可范围较大,并且,第二级吸振器对于弹性元件拉伸和压缩的许可范围稍大于第一级吸振器。展开更多
A new nonlinear transverse-torsional coupled model with backlash and bearing clearance was proposed for planetary gear set. Meanwhile, sun gear and planet's eccentricity errors, static transmission error, and time...A new nonlinear transverse-torsional coupled model with backlash and bearing clearance was proposed for planetary gear set. Meanwhile, sun gear and planet's eccentricity errors, static transmission error, and time-varying meshing stiffness were taken into consideration. The differential governing equations of motion were solved by employing variable step-size Rung-Kutta numerical integration method. The behavior of dynamic load sharing characteristics affected by the system parameters including input rate, sun gear's supporting stiffness and eccentricity error, planet's eccentricity error, sun gear's bearing clearance, backlashes of sun-planet and planet-ring meshes were investigated qualitatively and systematically. Some theoretical results are summarized at last which extend the current understanding of the dynamic load sharing behavior of planet gear train, enrich the related literature and provide references for the design of planetary gear train.展开更多
This paper considers the Legendre Galerkin spectral approximation for the unconstralnea optimal control problems. The authors derive a posteriori error estimate for the spectral approximation scheme of optimal control...This paper considers the Legendre Galerkin spectral approximation for the unconstralnea optimal control problems. The authors derive a posteriori error estimate for the spectral approximation scheme of optimal control problem. By choosing the appropriate basis functions, the stiff matrix of the discretization equations is sparse. And the authors use the Fast Legendre Transform to improve the efficiency of this method. Two numerical experiments demonstrating our theoretical results are presented.展开更多
文摘具有纯立方刚度的非线性能量阱因具有宽频吸振能力而受到广泛关注。本文研究了纯立方刚度在实现过程中存在较小偏差时,非线性能量阱(Nonlinear energy sink,NES)的失效情况,定量研究了由于安装误差等导致的正或负线性刚度对非线性能量阱吸振效能的影响。研究结果显示,单自由度吸振器具有一定的误差许可范围,相对而言,吸振器具有负线性刚度时,误差许可范围较大。对于串联两自由度吸振器,随着两级吸振器的正线性刚度的增加,吸振效能均迅速下降,两级吸振器对于负线性刚度的误差许可范围较大,并且,第二级吸振器对于弹性元件拉伸和压缩的许可范围稍大于第一级吸振器。
基金Project(51105194)supported by the National Natural Science Foundation of ChinaProject(20113218110017)supported by the Doctoral Program Foundation of Institutions of Higher Education of China+2 种基金Project supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions,ChinaProject(CXZZ11_0199)supported by the Funding of Jiangsu Innovation Program for Graduate Education,ChinaProjects(NZ2013303,NZ2014201)supported by the Fundamental Research Funds for the Central Universities,China
文摘A new nonlinear transverse-torsional coupled model with backlash and bearing clearance was proposed for planetary gear set. Meanwhile, sun gear and planet's eccentricity errors, static transmission error, and time-varying meshing stiffness were taken into consideration. The differential governing equations of motion were solved by employing variable step-size Rung-Kutta numerical integration method. The behavior of dynamic load sharing characteristics affected by the system parameters including input rate, sun gear's supporting stiffness and eccentricity error, planet's eccentricity error, sun gear's bearing clearance, backlashes of sun-planet and planet-ring meshes were investigated qualitatively and systematically. Some theoretical results are summarized at last which extend the current understanding of the dynamic load sharing behavior of planet gear train, enrich the related literature and provide references for the design of planetary gear train.
基金supported by the Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008)the National Natural Science Foundation of China under Grant No.10971074
文摘This paper considers the Legendre Galerkin spectral approximation for the unconstralnea optimal control problems. The authors derive a posteriori error estimate for the spectral approximation scheme of optimal control problem. By choosing the appropriate basis functions, the stiff matrix of the discretization equations is sparse. And the authors use the Fast Legendre Transform to improve the efficiency of this method. Two numerical experiments demonstrating our theoretical results are presented.
