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ThreetypesandfivetypesofspacestructuresClassificationofspacestructuresbasedonbasicstructuralelements平板网架结构Plate-likeSpaceTruss§4.网架结构设计§4.网架结构设计6.温度作用temperaturechangesandtemperaturegradientspositive,zeroornegativegaussiancurvatureMaxwell’sEquation单元局部坐标系中基本方程(equationinlocalcoordinatesys)单层球面网壳结构的网格形式BasicNetSystemsofReticularDomes菱形三向网格RhombicSystem短程线型GeodesicSystem柱面网壳的网格形式BasicNetSystemsofReticularVaults柱面网壳的组合CombinationofReticularVaults鞍形网壳的网格形式BasicNetSystemsofReticularHPShellsnodedisplacementsnodeforcesObjectinmovingAlmansistrainTotalLagrange(T.L)UpdateLagrange(T.L)1.InthetotalLagrangianformulationallstaticandkinematicvariablesarereferredtoinitialconfigurationattime0.IntheupdateLagrangianformulationallvariablesarereferredtothelastknownconfigurationattimet.2.IntheincrementalNewton-Raphsonmethod(INRmethod),thetangentstiffnessmatrixneedbeformulatedanewforeachiterativecycle,InthemodifiedNewton-Raphsonmethod(MNRmethod),thetangentstiffnessmatrixcalculatedatthestartoftheloadincrementalcanbeusedrepeatedlyuntilconvergenceisreached.DesignFormula实用公式Theformulaforpredictinglimitloadsofreticulateddomesissuggested.inreferencetothelineartheoryofcontinualthindome.Intheformasfollows: