附加集中质量矩形板的强迫振动分析

摘要

In order to analyse the vibration response of a rectangular plates carrying a concentrated mass, with the modes of a rectangular plates with or without carrying a concentrated mass, forced vibration response of the rectangular plates is analysed and presented in this contribution. It is demonstrated that the added mass can reduce the first nature frequency and the vibration response of the plate in high frequency range; under the point, line and plane prompting respectively. The forced vibration response of the plate differ from each other in high frequency range, and the vibration response of the plate caused by plane prompting is the lowest.%为了对附加质量板的振动响应特性进行分析,在附加集中质量矩形平板振动模态的基础上,结合无附加集中质量板的振动特性,求得了附加集中质量板的振动响应解析解,并分析了附加集中质量对板的振动响应的影响.同时考察了在点、线、面3种不同的激励下,平板强迫振动响应的差异.结果表明:附加集中质量会降低原平板的一阶固有频率,且会适当减小原平板高频时的受迫振动响应量.不同的激励方式对原平板低频的平均加速度级的影响不大,而对板高频强迫振动响应的影响比较明显.点、线、面3种激励载荷产生的受迫振动响应依次降低.