频率双向渐进优化方法中的新插值技术

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1、Abstract，nleevolutionarystructuraloptimizationmethodisanumericalmethodappliedonstructuraltopologyoptimizationrecently．Themethodisbasedontheideathatbygraduallyremovingtheinefficientmaterial，theresidualshapeofstructurewillevolvetowardsanoptimum．Becauseonlyelementremovingisallowedintraditionalevoluti

2、onarystructuraloptimizationmethod,whengivenapoorinitialdesign，itmayproduceafmaistructureundesirable．111eimprovedevolutionarystructuraloptimizationmethodusedinthispaperallowsmaterialstobeaddedaswellasremoved，anditisthereforecalledbidirectionalevolutionarystructuraloptimizationmethod．Ineverystepofth

3、eevolutionaryprocess，bidirectionalevolutionarystructuraloptimizationmethodneedstofindallofthedeletingandaddingelements．Thedeletingelementsarethepartsofthepresentstructure．Thedisplacementsofthedeletingelements’nodesareknown．Astotheunknowndisplacementsofthenodesontheboundaryofthestructure，traditiona

4、lbidirectionalevolutionarystructuraloptimizationmethodadoptsextrapolationmethods．Traditionalextrapolationmethodcanonlybeappliedonregularrectangleelementorcuboidalelement．Ifthestructureisdispersedbyirregularelements，themethodwillencounterdifficulties．111ispaperisconsistoftwopartswork．Inregardtothef

5、irstpartofthework,thispaperstudiestheinfluenceoftwodifferentextrapolationmethods，linearandquadratic，forEight-nodeQuadrilateralelementonthefinaldesign．Anexampleisgivenanditisshownthatinbidirectionalevolutionarystructuraloptimizationmethod，extrapolationmethodshavesignificantinfluenceontheaccuracyofs

6、ensitivitynumber．Inallusiontothelimitationoftheabove-mentionedmethod，thepaperbringsforwardanewmethodtoestimatetheunknowndisplacementsoftheboundaryadditionalelements．ThemethodiShaseduponanewidea．Atierthenormalmodesanalysis，accordingastheknowndisplacementsofthenodesintheintra-domain,unknowndisplacem

7、entsofthenodesontheboundaryofthestructurewillbecalculatedbylinearstaticmethod．Thearticleputsforwardtwolinearstaticextrapolationmethod．Theyaletotallinearstaticextrapolationmethodandonebyoneelementallinearstaticext