【摘要】 为了精确计算黏弹性阻尼器在任意荷载作用下的时域动力响应,提出了一种针对黏弹性材料等效标准固体模型的时域延拓方法.该方法首先将频域内的等效标准固体模型延拓到拉氏域内,再采用高精度拉氏逆变换数值求解方法将拉氏域表达式转换到时域,得到黏弹性阻尼器的时域动力响应.针对无锡减震器厂生产的9050A型号黏弹性阻尼材料的计算结果表明:在正弦激励下,采用时域延拓法计算的储能模量G₁的最大误差为0.005 4%,损耗因子η的最大误差为0.279 7%;在随机荷载激励下,相比于等效线性化近似方法,采用时域延拓法计算得到的El Centro和Kobe地震波作用下最大出力的计算精度提高22.2%以上;所提方法避免建立复杂的时域微分方程,简化了计算过程.更多还原

【Abstract】 To accurately calculate the dynamic response of viscoelastic dampers in time domain under arbitrary excitations, a time domain extension method for the equivalent standard solid model of viscoelastic materials is proposed. First, the equivalent standard solid mode in frequency domain is extended to Laplace domain. Then, the Laplace expression is transformed into time domain by the numerical high-precision Laplace inverse transformation method, and the time domain response of the viscoelastic damper can be obtained. The results of 9050 A viscoelastic damping materials produced by Wuxi Shock Absorber Factory show that under harmonic excitation, the maximum error of the storage module G₁ is 0.005 4% and the maximum error of loss factor η is 0.279 7% by the time domain extension method. As for random excitation, compared with the equivalent linearization approximation method, the calculation accuracy of the maximum force under El Centro and Kobe earthquake excitations by the time domain extension method is improved by more than 22.2%. The proposed method avoids the establishment of complex time-domain differential equations and simplifies the calculation process.更多还原