复合材料周期夹层梁结构等效刚度的多尺度预测方法

打开文本图片集

A multiscale homogenization method for effective stiffness prediction for composite periodic sandwich beam structures

LIU Chongren'，HUANG Zhiwei 1，2* （20 （1.AVIC General Huanan Aircraft Industry Co.，Ltd.， Zhuhai 519090; 2. School of Aeronautic Science and Engineering，Beihang University，Beijing 100191）

Abstract：Thispaper presentsanovel homogenization methodforpredicting theefectivestiffness ofcompositeperiodic sandwichbeamstructuresfromtheperspectiveof thecrossectionalstiffess.Acrossscaledeformationtransferframework for periodic beam structures is established byimplementing the internal virtual work equivalence principle betweenmacroscaleandmicroscale inaunitcell.Then，fourconstraintconditionsforunitcellproblems areestablishedthrough rigorous enforcementof thetwo-scaledeformationsimilarityprincipleandkinematiccontinuityrequirements.Another twoglobal sectionalrotation constraintsare proposedto suppresszero-energy modes arisingfromtransverse shear strain.Finally，an explicitclosed-formexpressions isderived forpredicting theeffective stiffessofperiodic beams.Numericalsimulations validate the proposed homogenizationmethod.The proposed methoddemonstrates significantadvancements inmodalanalysis，achieving over 40% error reduction in high-mode natural frequency predictions compared to conventional analytical approaches while maintaining frequency deviations within 5% across all vibration modes.Computational benchmarks against mesh-converged 3D finite element models confirm a remarkable speedup factor exceeding 100× through innovative eigenvalueextractionalgorithms.Thismethod providesaneficientandrobustmultiscaleanalysis framework forparametricdesign optimization of complex periodic beam structures in aerospace engineering applications.

Keywords：periodic beam structure;multiscale modeling;efective stifnessprediction;constraintconditions;internal virtual work equivalence principle

1引言

目前，复合材料在轨道车辆[和飞机中得到了广泛应用[2.3]，蜂窝夹层结构逐渐向主承力结构上发展[3]。（剩余7380字）