振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
19期
147-151
,共5页
舒海生%张法%刘少刚%高恩武%李世丹%董立强
舒海生%張法%劉少剛%高恩武%李世丹%董立彊
서해생%장법%류소강%고은무%리세단%동립강
声子晶体%T型杆%传递矩阵法%波形转换%带隙
聲子晶體%T型桿%傳遞矩陣法%波形轉換%帶隙
성자정체%T형간%전체구진법%파형전환%대극
phononic crystals%T rod%waveform transformation%transfer matrix method%coupling effect%band gap
针对工程中常见的多杆结构的振动抑制问题,将声子晶体具有独特的振动带隙这一理念引入进来,构造了一类布拉格型声子晶体T型杆。在波动方程的基础上,采用传递矩阵法,对声子晶体T型杆的面内和面外振动带隙特性进行了理论推导和数值分析。研究结果表明:弹性波在声子晶体T型杆中传播时会发生波型转化,这种波型转化一方面使得不同波型对应的带隙可以同时发挥振动抑制作用,从而拓展了减振频带;另一方面也使得对于任意方向的振动激扰均能够获得明显的衰减效果。因此,声子晶体T型杆能够很好的满足工程中常见的多维宽频减振需求,是一类良好的减振元件。
針對工程中常見的多桿結構的振動抑製問題,將聲子晶體具有獨特的振動帶隙這一理唸引入進來,構造瞭一類佈拉格型聲子晶體T型桿。在波動方程的基礎上,採用傳遞矩陣法,對聲子晶體T型桿的麵內和麵外振動帶隙特性進行瞭理論推導和數值分析。研究結果錶明:彈性波在聲子晶體T型桿中傳播時會髮生波型轉化,這種波型轉化一方麵使得不同波型對應的帶隙可以同時髮揮振動抑製作用,從而拓展瞭減振頻帶;另一方麵也使得對于任意方嚮的振動激擾均能夠穫得明顯的衰減效果。因此,聲子晶體T型桿能夠很好的滿足工程中常見的多維寬頻減振需求,是一類良好的減振元件。
침대공정중상견적다간결구적진동억제문제,장성자정체구유독특적진동대극저일이념인입진래,구조료일류포랍격형성자정체T형간。재파동방정적기출상,채용전체구진법,대성자정체T형간적면내화면외진동대극특성진행료이론추도화수치분석。연구결과표명:탄성파재성자정체T형간중전파시회발생파형전화,저충파형전화일방면사득불동파형대응적대극가이동시발휘진동억제작용,종이탁전료감진빈대;령일방면야사득대우임의방향적진동격우균능구획득명현적쇠감효과。인차,성자정체T형간능구흔호적만족공정중상견적다유관빈감진수구,시일류량호적감진원건。
In order to solve vibration attenuation problems of a multi-bar structure occurring commonly in engineering,the concept that phononic crystal has a unique vibration band gap was introduced,phononic crystals bragg T (PCT)rod was constructed.Based on the wave equation,the theoretical derivation and numerical calculation for the characteristics of in-plane and out-of-plane vibration band gaps of a PCT rod were performed with the transfer matrix method.The results showed that the transformation of elastic wave form in a PCT rod makes band gaps coresponding to various waveforms contribute to vibration suppression,the vibration reduction frequency bands are widened,furthermore vibration in any direction can also be attenuated.Thus,a PCT rod was a kind of good damping elements to meet the demands of multidimensional broadband vibration reduction in engineering.