摘要
讨论了带有粘性阻尼的粘弹性杆的非线性纵振动问题,其数学模型为非线性拟双曲型积分微分方程。用积分方程的理论和Galerkin方法证明了问题整体强解的存在性。
This paper presents the study of studies the nonlinear vibrations of finite rods with viscoelasticity in viscose damping.The mathematical model is the nonlinear pseudo hyperbolic integro differential equation.By using the theory of integral equations and the Galerkin method we proved the existence of the global strong solution of the problems.
出处
《甘肃科学学报》
1999年第1期19-21,共3页
Journal of Gansu Sciences
基金
甘肃工业大学科研发展基金
关键词
粘性阻尼
非线性纵振动
粘弹性杆
振动
定解问题
viscose damping,nonlinear vibration,initial boundary value problems,Galerkin method,global strong solution