中文摘要：

正弦曲线功能的一个物理模型被建立。力量与在一个古典春天振荡器系统的距离的一个力量函数直接成正比，这被概括。概括模型的微分方程被给。模拟与不同力量价值被进行。结果证明概括方程的答案是周期的功能。振幅和概括方程的时期(频率) 的表情被物理方法导出。所有模拟结果与导出的表情的计算结果与一致。特殊功能也被推出并且证明在理论分析会聚。特殊函数的限制值也被导出。概括模型能在解决微分方程并且到的一种类型被使用产生周期的波形。

英文摘要：

A physical model of sinusoidal function was established. It is generalized that the force is directly proportional to a power function of the distance in a classical spring-oscillator system. The differential equation of the generalized model was given Simulations were conducted with different power values. The results show that the solution of the generalized equation is a periodic function. The expressions of the amplitude and the period （frequency） of the generalized equation were derived by the physical method. All the simulation results coincide with the calculation results of the derived expressions. A special function also was deduced and proven to be convergent in the theoretical analysis. The limit value of the special function also was derived. The generalized model can be used in solving a type of differential equation and to generate periodic waveforms.