A generalized sinusoidal model and its applications  

作　　者：库少平 

机构地区：[1]School of Computer Science and Technology,Wuhan University of Technology

出　　处：《Journal of Chongqing University》2009年第1期70-74,共5页重庆大学学报（英文版）

基　　金：Funded by the National Natural Science Foundation of China (No. 50375113).

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.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.

关 键 词：sinusoidal function sinusoidal model differential equation waveform generator 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论]