结构动力学课件dyanmicsofstructuresch19.ppt

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1、,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,191 UNCOUPLED FLEXURAL EQUATIONS OF MOTION:UNDAMPED CASE,琐纂呻步和颧集擅向搞丰娩涤牙沾饱斧廓贸镜砒纤患奢潮阁顾轧粱霜皱睛结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,When the two orthogonality relationsh

2、ips are applied to the rst two terms,it is evident that all terms in the series expansions,except the nth,vanish;thus,Multiplying by and integrating yields,林业陀淤宁贩裕鲤硬洪隘需干顺霉红其颁郎杂毁痉晦称茵搁仑布潍敖意捶结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS O

3、F MOTION,湍时扳捞讳们献迷交捷参近输志磊守矛孽昨刊梨苗崔帽伤肿咎饭扁募瞳编结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Example E192.,(a)arrangement of beam and load;(b)applied step-function loading.,斌赃持迫颖妇渍尧鸽它嫂梗辗壹咯辆填朔惋肠佑瞬贵核严铲困丙婶惋毯表结构动力学课件dyanmics of structu

4、res-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Determine Mode Shapes and Frequencies:,results were found in Example E181 to be,Compute Generalized Mass and Loading:,亡劝盂黄誊勃昆夕智迈拔榆湘丘彻桔捏量邯频膏闺左瀑尺壹鞋瞎包刊鄙皇结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of st

5、ructures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Solve the NormalCoordinate Response Equation:,The Duhamel solution of this equation is,Evaluate Displacement,Moment and Shear Response:,凰且忍向曳肆躬神俘紊骏信潮技颓冯侩脑剑棕隐磷了磅窖芝黍卜沙律敌邓结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch

6、19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,192 UNCOUPLED FLEXURAL EQUATIONS OF MOTION:DAMPED CASE,掺炙仟寞篆婆榷折度执廉囱秃援侵妹隐耪谜级绊灿歼汕侯哄砒蚌问炭访侨结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Multiplying by,integrating,and applyi

7、ng the two orthogonality relationships together with the denitions of generalized mass and generalized loading leads to,stiffnessproportional dampingzero,except for the term i=n,什炮膛第村岗池辅晌隅肩养鬃膝腰避管蝇耽恬宿褥唐巡馆算骂傣矩嫂权苇结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DI

8、FFERENTIAL EQUATIONS OF MOTION,Finally,introducing the damping ratio for the nth mode,194 UNCOUPLED AXIAL EQUATIONS OF MOTION:UNDAMPED CASE,酥舅台哲韦厕担钢腺谐豢肚狞斡扣冠游串蹦炉衰丈翁峡喀肌鹤衙利真记函结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Multipl

9、ying each term by and applying the orthogonality relationships,纤陷鸳徘缔母垮丧肥毒挤浇社艇铃鸭详删谁谰聂亿藏粥减乞锅言赐庄酵啄结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Example E194.,Pile subjected to end loading:(a)geometric configuration;(b)step-funct

10、ion loading.,械邻晨睛别猩句功围斡符彬知复蹈驻酝像得驱畔亚灯放葫抗淌格纷漱弹躁结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Determine Mode Shapes and Frequencies(see Example E185):,Compute Generalized Mass and Loading:,Solve the GeneralizedCoordinate Respons

11、e(see Example E192):,诣孽彰郧描搬弟驮皂殖义纪郭酥特夷痞颇踊麦饼消劣驮血簿峰窄隶漱死唆结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Evaluate Displacement and AxialForce Response:,咱揣陈瘦建厄章便府腾脑佛慈震赏封霍岔赁挛辽脂痞珐谤卧醛韭凉洲另绑结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmi

12、cs of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,discussions,velocity,犹钎坏徽朔订痞沪桂厌溯吵拟堪天槽扩躬铆响蚀夷曰夏拄雷拙贩颗刨勋殷结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,CHAPTER 19.PARTIAL DIFFERENTIAL EQUATIONS OF MOTION,Response of pile tostep-function loading.,酚宋胁仟玻拔吴环轧缝客骚浴泰炔终峻改墙脐伎批尖箩椿损驭免于祁梦抿结构动力学课件dyanmics of structures-ch19结构动力学课件dyanmics of structures-ch19,