Analytical periodic solution and stability assessment of 1 DOF parametric systems with time varying stiffness

作者：

Highlights：

• Periodical solution of the vibrating 1 DOF system with varying stiffness.

• Transfer of the equation of motion into Fredholm’s integral equation.

• Solution of the Fredholm’s equation by means of a Fourier’s series.

• Stability assessment of the vibrating system.

摘要

•Periodical solution of the vibrating 1 DOF system with varying stiffness.•Transfer of the equation of motion into Fredholm’s integral equation.•Solution of the Fredholm’s equation by means of a Fourier’s series.•Stability assessment of the vibrating system.

论文关键词：Integral equation,Periodic solution,Stability,Fourier series,Vibration

论文评审过程：Available online 19 June 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.05.089