噪声与振动控制
譟聲與振動控製
조성여진동공제
NOISE AND VIBRATION CONTROL
2014年
3期
11-14
,共4页
振动与波%夹层圆板%固有频率%径向均布压力
振動與波%夾層圓闆%固有頻率%徑嚮均佈壓力
진동여파%협층원판%고유빈솔%경향균포압력
vibration and wave%sandwich circular plate%natural frequency%uniform radial compression
基于小挠度薄板理论，建立径向均布压力作用下夹层圆板的振动控制方程。采用分离变量法导出夹层圆板的固有频率及振型解析式，计算径向均布压力作用下周边固支夹层圆板固有频率和振型，讨论径向均布压力和夹心层比率对固有频率的影响。研究表明夹层圆板的固有频率随径向压力增大而减小，临界压力随阶次的增大而增大；作用径向压力的夹层圆板固有频率随夹心层比率增大，先缓慢增大，到峰值后减小，该趋势与无径向压力时相同。
基于小撓度薄闆理論，建立徑嚮均佈壓力作用下夾層圓闆的振動控製方程。採用分離變量法導齣夾層圓闆的固有頻率及振型解析式，計算徑嚮均佈壓力作用下週邊固支夾層圓闆固有頻率和振型，討論徑嚮均佈壓力和夾心層比率對固有頻率的影響。研究錶明夾層圓闆的固有頻率隨徑嚮壓力增大而減小，臨界壓力隨階次的增大而增大；作用徑嚮壓力的夾層圓闆固有頻率隨夾心層比率增大，先緩慢增大，到峰值後減小，該趨勢與無徑嚮壓力時相同。
기우소뇨도박판이론，건립경향균포압력작용하협층원판적진동공제방정。채용분리변량법도출협층원판적고유빈솔급진형해석식，계산경향균포압력작용하주변고지협층원판고유빈솔화진형，토론경향균포압력화협심층비솔대고유빈솔적영향。연구표명협층원판적고유빈솔수경향압력증대이감소，림계압력수계차적증대이증대；작용경향압력적협층원판고유빈솔수협심층비솔증대，선완만증대，도봉치후감소，해추세여무경향압력시상동。
Based on the basic assumptions of elastic thin plates, the vibration control equation of a sandwich circular plate subjected to uniform radial compression is established. The analytical expressions of natural frequencies and vibration modes are derived by employing the method of separate variables. The natural frequencies and modes of a clamped sandwich circular plate are calculated. The influence of radial compression and core ratio on natural frequency is discussed. It is concluded that the natural frequency decreases with the radial compression increasing, the critical compressive force increases with the increase of orders, and the natural frequency of the plate increases at first and then decreases with the increase of core ratio.
