索梁組合結(jié)構(gòu)的建模與非線性有限元分析

1、湖南大學(xué)碩士學(xué)位論文索梁組合結(jié)構(gòu)的建模與非線性有限元分析姓名：王信申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：一般力學(xué)與力學(xué)基礎(chǔ)指導(dǎo)教師：趙躍宇20090508索梁組合結(jié)構(gòu)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