Random Vibration Of Loudspeaker Nonlinear Systems

Loudspeakers play an indispensable role in different areas of human life. As the market demand,research and development of Loudspeakers have been improved continuously. In the process of research found that the Loudspeakers system equip with nonlinear stochastic dynamics. Based on the dynamic characteristics of Loudspeakers subjected to white noise random excitation and single frequency random excitation to solve, the nonlinear ordinary differential equation subjected to narrowband random excitation to solve(strong, weak), the third-order ordinary differential equation to solve subjected to deterministic incentive.Loudspeakers are divided into static coil, moving and static coil according to the principle of conversion, establishing equation of nonlinear dynamics. By means of the method of statistical linearization to the linear system of Loudspeaker subjected to white noise random excitation and single frequency random excitation,the mean square response has been obtained.Dynamics model of static coil vibration system of loudspeakers is established based on Lagrange-Maxwell equation. By means of the method of multiple scales to the static coil vibration system of loudspeakers subjected to narrow-band random excitation, the first approximation solution and corresponding to the steady state solution and Ito stochastic differential equation have been obtained. The influence of the parameters of the static coil vibration system of loudspeakers on the primary resonance response curves and mean-square values have been analyzed.By means of the average method analyze moving and static coil Loudspeaker system. With analysis of one third of the harmonic,because the discriminant is less than zero, the amplitude frequency response equation have no steady solution, the system have no resonance.