索-梁組合結構的建模與非線性有限元分析.pdf

1、湖南大學碩士學位論文索梁組合結構的建模與非線性有限元分析姓名：王信申請學位級別：碩士專業(yè)：一般力學與力學基礎指導教師：趙躍宇20090508索梁組合結構的建模與：卜線性有限元分析!l一一一一一一i；IiIIIiIIiIII|I曼量曼鼉詈詈皇詈曼詈詈葛AbstractCablestructurehasbeenwidelyappliedinengineeringduetoitssimpleforcestransmitting，thuscan

2、beconsideredasarepresentatiVeofstayedstructuresUnderexternalexcitation，cablesaresusceptibletosignificantvibrationsinaseriesofcomplicatedformsduetoitsinherentcharacteristics，suchasflexibility，structurallightnessandlowdamp

3、aswellasitsinitialstretchingandcurvatureWhenitsinherentfrequencyisclosetoorproportionaltotheinherentfrequencyofconnectionbeam，resonanceofthewholesystemwillbearousedTheobservationoncablestayedbridgesbuiltorunderconstructi

4、onshowsthatseveralcablesmayvibratedramaticallyinbreezeordrizzleThiskindofvibrationcanbadlyharmthesafetyandenduranceofthebridgeTobeexact，itmaycausefatigueofthecables，crackoftheanchorjoint，damagetotheprotectionsystem，andin

5、validationofthecablesinseverecircumstancesWhat’Smore，thevibrationofcableswillundoubtedlycausetheuncomfortablenessofthepassersby；hencebringouttheirdoubttothesafetyofthebridgeTherefore，itisquitenecessarytodomoreresearchont

6、hecable—beamstructureBasedontheabovefacts，thisthesishasdonemuchrelatedresearch，andthemainresearchworkcoversthefollowingcontents：(1)Bytakingtheinfluenceofbendingrigidityintoconsideration，thethreedimensionalnonlineardynami

7、cequationsofinclinedcablearededucedundertheHamiltonPrincipleBasedontheboundaryconditions，thesystemequationsarereducedtotwo—dimensionalMoreovertheinternalresonancepatternsoftheplanemotionsandcouplemotionsofinplanaroroutpl

8、anarareanalyzedrespectivelyTheinfluenceofbendingrigidityontheinternalresonanceofinclinedcableisalsostudied(2)WeestablishtheMathematicalmodelofcablebeamstructure，andalsoestablishthepartialdifferentialequationsofmotionsofc

9、ablebeamstructurebyfollowingtheHamiltonprincipleAndaonedimensionaltreatmentisalsogivenontheaboveequations(3)ByusingGalerkinmethod，wechangethepartialdifferentialequationsofmotionsofcablebeamstructuretothesecond—orderordin