In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction so...In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction solutions between lump and solitary wave are obtained,which include a periodic-shape lump solution, a parabolic-shape lump solution, a cubic-shape lump solution, interaction solutions between lump and one solitary wave, and between lump and two solitary waves. The spatial structures called the bright lump wave and the bright-dark lump wave are discussed. Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented. Their interactions are shown in some 3D plots.展开更多
为解决纯立方刚度非线性能量阱(Nonlinear Energy Sink,NES)在竖直方向工作时,因重力影响造成的激活阈值过高问题,在中心质量块与NES下底座之间引入支撑弹簧单元,从而构造出一种非对称刚度非光滑NES,通过试验研究该NES的动力学响应。对...为解决纯立方刚度非线性能量阱(Nonlinear Energy Sink,NES)在竖直方向工作时,因重力影响造成的激活阈值过高问题,在中心质量块与NES下底座之间引入支撑弹簧单元,从而构造出一种非对称刚度非光滑NES,通过试验研究该NES的动力学响应。对比分析在简谐激励下非光滑NES与纯立方刚度NES的激活阈值差异。分析水平弹簧刚度和中心质量块质量两个参数对NES激活阈值的影响。结果表明,支撑弹簧单元能够有效降低纯立方刚度NES的激活阈值;通过合理控制水平弹簧刚度和质量块质量,可以使非光滑NES更好地应用于不同频带的减振。展开更多
基金Project supported by National Natural Science Foundation of China(Grant No 81960715)Science and Technology Project of Education Department of Jiangxi Province(GJJ151079)。
文摘In this paper, a generalized (3+1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota’s bilinear form and symbolic computation, lump and interaction solutions between lump and solitary wave are obtained,which include a periodic-shape lump solution, a parabolic-shape lump solution, a cubic-shape lump solution, interaction solutions between lump and one solitary wave, and between lump and two solitary waves. The spatial structures called the bright lump wave and the bright-dark lump wave are discussed. Interaction behaviors of two bright-dark lump waves and a periodic-shape bright lump wave are also presented. Their interactions are shown in some 3D plots.
文摘为解决纯立方刚度非线性能量阱(Nonlinear Energy Sink,NES)在竖直方向工作时,因重力影响造成的激活阈值过高问题,在中心质量块与NES下底座之间引入支撑弹簧单元,从而构造出一种非对称刚度非光滑NES,通过试验研究该NES的动力学响应。对比分析在简谐激励下非光滑NES与纯立方刚度NES的激活阈值差异。分析水平弹簧刚度和中心质量块质量两个参数对NES激活阈值的影响。结果表明,支撑弹簧单元能够有效降低纯立方刚度NES的激活阈值;通过合理控制水平弹簧刚度和质量块质量,可以使非光滑NES更好地应用于不同频带的减振。
