李書(shū)進(jìn)+王見(jiàn)祥+孫磊+孔凡

摘要：對(duì)一種基于空腔樓板的新型耗能減震裝置的參數(shù)優(yōu)化問(wèn)題進(jìn)行了探討；對(duì)基于拉格朗日變分原理推導(dǎo)出的裝有該裝置的受控結(jié)構(gòu)非線性運(yùn)動(dòng)方程進(jìn)行統(tǒng)計(jì)線性化處理，以結(jié)構(gòu)的水平位移方差最小化為優(yōu)化準(zhǔn)則，應(yīng)用定點(diǎn)理論方法對(duì)該裝置的參數(shù)優(yōu)化問(wèn)題展開(kāi)研究；利用蒙特卡洛模擬方法對(duì)不同情況下受控結(jié)構(gòu)的減震效果進(jìn)行對(duì)比分析，驗(yàn)證了該方法的有效性。結(jié)果表明：采用所提方法能有效進(jìn)行耗能減震裝置的參數(shù)優(yōu)化設(shè)計(jì)，為該裝置的推廣應(yīng)用提供依據(jù)。

關(guān)鍵詞：耗能減震裝置；參數(shù)優(yōu)化；定點(diǎn)理論；蒙特卡洛模擬；空腔樓蓋

中圖分類(lèi)號(hào)：TU352.1 文獻(xiàn)標(biāo)志碼：A

文章編號(hào)：1673-2049（2017）02-0010-08

Abstract：The parameter optimization of a new energy dissipation device based on hollow floor slab was discussed. The nonlinear motion equation of the controlled structure with the device based on the Lagrange variational principle was treated using statistical linearization method. Then， taking the device as object， the structural horizontal displacement variance minimization was taken as the optimization criterion， the parameter optimization problem of the device was studied using the fixed point theory. The Monte Carlo simulation method was used to compare the damping effects of the controlled structure under different conditions， and the effectiveness of the proposed method was verified. The results show that the proposed method can be used to optimize the parameters of energy dissipation device effectively， and provides the basis for the application of the device.

Key words：energy dissipation device； parameter optimization； fixed point theory； Monte Carlo simulation； hollow floor slab

0引 言

近年來(lái)，裝配式建筑在中國(guó)得到了極大的推廣，為減少現(xiàn)場(chǎng)作業(yè)量和構(gòu)件自重，各種空腔樓蓋體系也在工程中得到廣泛應(yīng)用[1-2]。利用分布于這種樓蓋體內(nèi)的大量空腔，本文提出了一種新型滾動(dòng)式調(diào)諧質(zhì)量阻尼器（TRMD）耗能減震裝置，并對(duì)其工作機(jī)理和減震性能進(jìn)行了初步探討[3-4]。該裝置具有制作方便、布置靈活且不影響結(jié)構(gòu)使用功能等優(yōu)點(diǎn)。

滾動(dòng)式調(diào)諧質(zhì)量阻尼器是一種基于傳統(tǒng)調(diào)諧質(zhì)量阻尼器（TMD）研究開(kāi)發(fā)出來(lái)的減震裝置，屬于被動(dòng)控制技術(shù)，為使該裝置控制效果最優(yōu)，需要對(duì)其參數(shù)進(jìn)行優(yōu)化設(shè)計(jì)。