基于動力剛度法的預(yù)拉結(jié)構(gòu)頻率計算.pdf

1、中南大學(xué)碩士學(xué)位論文基于動力剛度法的預(yù)拉結(jié)構(gòu)頻率計算姓名：張靜申請學(xué)位級別：碩士專業(yè)：橋梁與隧道工程指導(dǎo)教師：任偉新20071101碩十學(xué)位論文摘要ABSTRACTThepre—tensionedstructuresarecommonlyusedinbridgeengineeringDuetotheirspecials仃uctl】raItype，thepre—tensionedstructuresaresensitivetothedyn

2、amicloadings，andthelossofpretensionaffectsthestructuralsafetyanddurabilityTherefore，theaccuratecalculationofdynamiccharacteristicsforthosestrllcnⅡesisakeyissueinthehealthmonitoringandconditionassessmentThedynamicstiffnes

3、smethodhasbeenaneffectiveapproachtOsolvethevibrationproblemsins仃ucturalengineering，particularlywhenhigherordernaturalfrequenciesandbetteraccuracyalerequiredUnlikethetraditionalfiniteelementmethodandotherapproximatemethod

4、s，thismethodallowsallinfinitenumberofnaturalfrequenciesandnormalmodesofstructuretobeaccountedforwithfewdegreesoffreedomnlepresentworkisaimedatpresentingadynamicstiffnessmatrixbasedmethodtoaccuratelycalculatethenaturalfre

5、quenciesofaxialeccentricallyforcedbeamsbeamsconsideringdeadloadellcectandparaboliccablesThemainworkandconclusionsare“1Accordingtotherelationshipbetweentheforceincrementanddisplacementthedynamicstiffnessmatrixofaxialeccen

6、tricallyforcedEulerbeamsisderivedcombiningthegoverningdifferentialequationandtheboundaryconditionsTheWittickWilliamsalgorithmisimplementedtocalculatethenaturalfrequenciesofsuchabeamandtheparametricstudyisalSOcarriedout2T

7、hevibrationstressstrainrelationshipofthebeamconsideringdeadloadeffectisstudiedByusingHamiltonprinciplethevibrationcontroldifferentialequationandcorrespondingboundaryconditionsofsuchabeamarepresentedAfterconvertingtheboun

8、daryvalueproblemsintoasetofequivalentinitialvalueproblems，thedynamicstiffnessmatrixofthebeamconsideringdeadloadeffectiSderivedwiththehelpofthefourthorderRungeKuttamethodTheWittickWilliamsalgorithmisthenusedtocalculatethe