部分作用Timoshenko組合梁的受力特性研究.pdf

1、浙江大學碩士學位論文部分作用Timoshenko組合梁的受力特性研究姓名：王冠楠申請學位級別：碩士專業(yè)：橋梁與隧道工程指導教師：徐榮橋201206浙江大學碩士學位論文王冠楠AbstractBasedonthekinematicassumptionsofTimoshenko’Sbeamtheorythispaperfirstlypresentstheprincipleofvirtualworkandreciprocaltheoremofw

2、orkofthecompositebeamswithpartialinteractionThentheprincipleofminimumpotentialenergyandminimumcomplementaryenergyarederivedandprovedThevariationalprinciplesforthefiequencyoffreevibrationandcriticalloadofbucklingarealsode

3、ducedafterwardaswellasthemixedvariationalprinciplewithtwotypesofvariablesThesevariatiohalformulaeareallrenderedintermsofshearingforce，bendingmomentandaxialforceaswellascorrespondingdeflectionrotationangleandinterlayersli

4、p，whichcanbeappliedconvenientlyforanalyzingofcompositebeamsAccordingtotheproposedvariationalprinciples，thegoverningequationsofstaticbending，fleevibrationandbucklingcanbeobtainedforthepartialinteractioncompositemembersasw

5、ellasthecorrespondingboundaryconditionsFinallysomenumericalexamplesarepresentedandcomparedwiththeothersolutionsavailableinliteraturestodemonstratethepresenttheorySimilartothehomogeneousbeams，thereisnotonlyEulerBernoullib

6、eamtheorybutalsoTimoshenkobeamtheorywhichtakesthesheardeformationintoaccountfortheanalysisofpartialinteractioncompositebeamsByanalyzingtheconstitutiverelationshipsandequationsofequilibrium，thisworkderivestherelationships

7、ofsolutionsbetweensingle—spanEulerBernoulliandTimoshenkopartialinteractioncompositebeamsTheintegralconstantsarealsopresentedfordifferentboundaryconditionsThroughtheresults，TheTimoshenkopartial—interactioncompositebeam’Ss

8、olutionscouldbereadilyobtainedaslongastheonesofthecorrespondingEuler—BernoullicounterpartswereknownTheshearconnectorsofsimplysupportedpartialinteractioncompositebearmareredistrlbutedalongthespanwith“triangularshape’’inor

9、dertodecreasetheinterlayerslipThenthedifferentialequationofinterlayerslipisderivedandsolved，whichissuitablefornotonlyTimoshenkopartialinteractioncompositebeamsbutalsoEulerBernoullionesThroughnumericalcalculationandanalys