Steady-state harmonic response analysis of a stranded wire helical spring-mass system using an iterative harmonic balance method

As a cylindrical spring wound by a wire strand, the stranded wire helical spring has been widely used as key repositioning components for high-end devices. Most of these devices can be simplified as single degree-of-freedom (DOF) stranded wire helical spring-mass systems. The steady-state harmonic response analysis method is an important tool for designing a system with the nonlinear spring. The present work proposes an iterative harmonic balance method to solve for the steady-state harmonic response of the single DOF stranded wire helical spring-mass system. Taking into account the nonlinearity of the stranded wire helical spring, a nonlinear model comprising a modified Bouc-Wen equation was proposed for describing the dynamic nature of the spring-mass system. Based on the harmonic balance method and nonlinear iterative methods, the seeking for the response solution was transformed into a nonlinear optimization issue for the nonlinear spring-mass system. The present method was examined using both simulat...