论文部分内容阅读
推导了扬声器辐射体旋转薄壳的离散非线性振动方程。从虚功原理出发,选用扬声器辐射体旋转薄壳的本征模态对连续体进行离散。薄壳的几何非线性采用Sanders非线性薄壳理论的应变一位移关系。方程系数由有限元方法确定。方程表明轴对称模态由驱动力直接激励,非轴对称模态由轴对称模态非线性耦合激励,该耦合激励表现为参数激励。方程揭示了扬声器非线性失真的机制,可用于分析扬声器辐射体薄壳非线性引起的谐波失真、分谐波失真和互调失真。
The discrete nonlinear vibration equation of rotating shell of speaker radiator is deduced. Proceeding from the principle of virtual work, the continuum is discretized using the eigenmodes of the rotating shell of the speaker radiator. The geometrical nonlinearity of the shell adopts the strain-displacement relationship of the Sanders nonlinear shell theory. The coefficient of the equation is determined by the finite element method. The equation shows that the axisymmetric mode is directly excited by the driving force, and the non-axisymmetric mode is excited by an axisymmetric modal nonlinearly coupled excitation. The equation reveals the mechanism of speaker nonlinear distortion and can be used to analyze the harmonic distortion, sub-harmonic distortion and intermodulation distortion caused by the shell nonlinearity of the speaker radiator.