关于一类电-力振动模型的建模与分析

从电学、力学的基本原理出发,通过数学方法建立和分析了一种电-力振动模型。这是一种较复杂的电力混合作用的线性振动系统,由模型的特殊结构(类扬声器结构)作者确立了两种磁场,即感生磁场和外磁场两者正交独立,并规定了电学、力学两种不同物理量的坐标取向关系。该模型需要求得三阶正系数常微分方程的收敛解,再求得包含暂态、稳态项的完整解。另外,文章从能量和做功的角度,通过对电压电流间的相位差分析,对所建模型的正确性作了论证,同时也为这类建模引荐了一种论证手段。

Building and analyzing about a electricity-dynamics vibration model

Based on the basic principles of electricity and dynamics,this thesis builds and analyses a linear vibration model which is a fairly complex system because the electricity and dynamics are interactive in it.By the special structure of the model which is similar to a coil loudspeaker,the authors make a clear distinction between two magnetic fields-induced and original ones and point out that they are perpendicular and independent with each other,meanwhile the relationships between electrical and dynamics coordinate axis are specified with.This model should to get the convergent solution of a third-order positive coefficient homogeneous differential equation at first,and then the complete solution that includes both the transient state term and steady state term.Moreover,in view of work and energy,this thesis,demonstrates the correctness of the model by judging the phase difference between voltage and electric current,and presents a means of demonstration to the similar models.