振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
13期
6-12
,共7页
金泽宇%殷彩玉%谌勇%黄修长%华宏星
金澤宇%慇綵玉%諶勇%黃脩長%華宏星
금택우%은채옥%심용%황수장%화굉성
多层介质%一维波传播%时域瞬态解析解
多層介質%一維波傳播%時域瞬態解析解
다층개질%일유파전파%시역순태해석해
multilayer mediums%one-dimensional wave propagation%time-domain transient analytical method
为研究水中压力波在覆盖层-钢板等介质中多次反射透射后对输入压力波的影响,采用波动理论建立一维多层介质声学模型,提出一种计算湿表面(水与覆盖层的交界面)压力的时域解析方法。该方法可以考虑波在多层介质中发生多次反射和透射的复杂情况,并得到时域解析解。针对输入为指数衰减波的情况,该方法的结果通过与有限元结果进行对比,验证了结果的正确性,将该方法的结果与只计及一、两次反射透射影响的近似结果进行对比,结果表明,对于刚性边界条件,该结果与近似结果相比吻合较好;对于气背边界和水背边界,与近似结果相比误差较大。为研究覆盖层参数的影响,对指数衰减波进行无量纲化和参数分析,分析结果表明,随着覆盖层特性阻抗的减小,压力波峰值先减小后增大再减小;随着覆盖层厚度的增大,压力波峰值逐渐减小;入射压力波衰减速度快,压力波峰值减小。该方法对于q(q≥3)层介质中波的多次反射透射分析依然适用。
為研究水中壓力波在覆蓋層-鋼闆等介質中多次反射透射後對輸入壓力波的影響,採用波動理論建立一維多層介質聲學模型,提齣一種計算濕錶麵(水與覆蓋層的交界麵)壓力的時域解析方法。該方法可以攷慮波在多層介質中髮生多次反射和透射的複雜情況,併得到時域解析解。針對輸入為指數衰減波的情況,該方法的結果通過與有限元結果進行對比,驗證瞭結果的正確性,將該方法的結果與隻計及一、兩次反射透射影響的近似結果進行對比,結果錶明,對于剛性邊界條件,該結果與近似結果相比吻閤較好;對于氣揹邊界和水揹邊界,與近似結果相比誤差較大。為研究覆蓋層參數的影響,對指數衰減波進行無量綱化和參數分析,分析結果錶明,隨著覆蓋層特性阻抗的減小,壓力波峰值先減小後增大再減小;隨著覆蓋層厚度的增大,壓力波峰值逐漸減小;入射壓力波衰減速度快,壓力波峰值減小。該方法對于q(q≥3)層介質中波的多次反射透射分析依然適用。
위연구수중압력파재복개층-강판등개질중다차반사투사후대수입압력파적영향,채용파동이론건립일유다층개질성학모형,제출일충계산습표면(수여복개층적교계면)압력적시역해석방법。해방법가이고필파재다층개질중발생다차반사화투사적복잡정황,병득도시역해석해。침대수입위지수쇠감파적정황,해방법적결과통과여유한원결과진행대비,험증료결과적정학성,장해방법적결과여지계급일、량차반사투사영향적근사결과진행대비,결과표명,대우강성변계조건,해결과여근사결과상비문합교호;대우기배변계화수배변계,여근사결과상비오차교대。위연구복개층삼수적영향,대지수쇠감파진행무량강화화삼수분석,분석결과표명,수착복개층특성조항적감소,압력파봉치선감소후증대재감소;수착복개층후도적증대,압력파봉치축점감소;입사압력파쇠감속도쾌,압력파봉치감소。해방법대우q(q≥3)층개질중파적다차반사투사분석의연괄용。
The underwater pressure wave generates a series of complex reflection and transmission waves when it spreads between the coating and the steel plate which will influence the input pressure wave.A time-domain analytical method to calculate the pressure on the wetted surface (the interface of water and coating)was developed based on the wave theory.The method can take all complicated reflections and transmissions into account and obtain the analytical solution.For the exponential decay wave input,the comparisons between the analytical results and FEM results indicate the correctness of the method.At the same time,the results were also compared with the approximate results in which merely the effects of once or twice reflection and transmission for the exponential decay wave input were considered. Through the comparison,it is shown that the results are highly consistent with the approximate results under rigid boundary condition,but there will appear large error under air-back and water-back boundary conditions.Furthermore,the dimensional analysis on exponential decay wave was done to study the influence of coating parameters on the results.The results of the analysis indicate that the peak pressure will decrease first,then increase and again decrease with the decreasing of coating characteristic impedance.Besides,the peak pressure will decrease as the thickness of coating increases or the input wave decay speed increases.The method is still applicable for q-layer (q≥3 )mediums.