摘要
利用分离变量法对鼓型振动膜系统的振动方程解进行级数求解,得到系统振动方程解的表达式.根据物理意义及系统的特性对鼓型振动膜系统的振动方程解的表达式进行讨论.并且讨论敲击鼓的谐振子位置(r',θ')对鼓型振动膜系统振动模式的影响.利用信号发生器及圆形鼓、可伸缩振子对鼓型振动膜系统进行演示实验.对演示实验结果,利用鼓型振动膜系统的振动方程解的表达式及Mathematica 7.0模拟不同振动模式变化规律.讨论不同振动模式之间产生杂化的条件及根源,并利用Mathematica 7.0模拟不同振动模式之间的杂化现象.
In this paper,the series solution of the vibration function in a drum vibrate membrane was discussed with method of separation of variables and the vibration function expressions of the system were obtained.The vibration function expressions were also discussed according to their physical meaning and systemic characteristics.What＇s more,we also illustrated the influence of the knock drum harmonic oscillator position（r′,θ′） on this system vibration patterns.This system was experimented with signal generator,circular drum and stretch oscillator.Based on the results,the regulation of different mode of vibrations was simulated with the vibration function of drum membrane of vibrations system and Mathematica 7.0.In addition,the hybridized conditions and origin among different modes of vibration were also discussed and the hybridized phenomenon among different modes of vibration was simulated with Mathematica 7.0.
出处
《沈阳化工大学学报》
CAS
2012年第1期84-89,共6页
Journal of Shenyang University of Chemical Technology
基金
国家自然科学基金(10647138)
辽宁省教育厅科学研究项目(20060667)
