结构动响应的自启动单解时域积分器优化

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中图分类号：0302；0327 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202506051

Optimizations on self-starting single-solve time integrators for structural dynamical responses

LI Jinze，LIU Yaokun， YU Kaiping， CUI Naigang （SchoolofAstronautics，Harbin Instituteof Technology，Harbin15ooo1，China）

Abstract：Timeintegrationalgorithmsarewidelyusedaseficientnumericaltechniquesforanalyzingdynamicresponsesoflarg-scale structures.Amogousiteatos，eartigsingoleiteatosractedosidableetioutiliy Basedonanalytcalteciqesforomputingthadingtesofmpliudeeror，paseeo，anddispacemetocaltruncatiothe papersystematicallyotimiestheetypsofself-startingsingle-solvetieitegratorswithidenticalscondoderacuracy：iplicit algorithms，fullexplicitalgorits，andexplicitagoritsitmplittreatentofvelocity.Forimplicitalgorits，teotiized 0SS21* methodsignificantlyimprovesovershootingtendencyandhig-frequencydisipationcomparedtotheoriginalscheme，demostrating superioroverallpfomanceamongtheexistingscond-orderself-startingsingle-solveimplicitintegrators.Forexpicitagoritms，the updatingvelocityshme insolvingquilibrumequationsisoptimizedbyminimizingthesumofsquaredeadingtemsofampliudeand phase erors，hilefourtsoftialagoriicarameteseteedasdosplacentocaltcatiooalsiseproed （204号 GSSI* algorithmexhibitssmalerrelativeperioderrorsat thesamephysicaldampingatios，withthisadvantagebecomngmore pronouncedas dampingincreasesMoreoverunderequivalentdisipationlevels，itacheessigiantlyeterperodaccuracyantiginalethod Numericalexamplesvalidatethetheoreticalanalysis，confimingtheoptimizedintegrators’advantages inaccuracy，overst，and dissipation performance.

Keywords：time integrationmethod;self-starting;single-solve;identicalsecond-orderaccuracy;implicit;explicit

结构振动问题在空间离散1后退化为时间连续的二阶微分（运动）方程：

变量。（剩余13142字）