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(1 河北建筑工程學(xué)院土木工程學(xué)院,張家口 075000;2 河北省土木工程診斷、改造與抗災(zāi)重點實驗室,張家口 075000)
[摘要]為了探究高通濾波的最佳截止頻率及大跨空間結(jié)構(gòu)三維尺寸與行波效應(yīng)的關(guān)系,采用時程分析法對不同三維尺寸雙層柱面網(wǎng)殼進(jìn)行多點輸入與一致輸入的對比分析,研究結(jié)構(gòu)間的地震響應(yīng)規(guī)律。結(jié)果表明:截止頻率不小于0.1Hz的高通濾波可有效消除原始地震記錄的零線漂移現(xiàn)象,而引起結(jié)構(gòu)最大地震響應(yīng)的最佳截止頻率各不相同;行波效應(yīng)對橫桿及腹桿無明顯不利影響,對縱桿不利影響較大,下弦縱桿內(nèi)力普遍極小而上弦縱桿內(nèi)力較大;結(jié)構(gòu)高度或跨度增大會減小行波效應(yīng)的影響程度,但行波效應(yīng)與結(jié)構(gòu)高跨比無直接關(guān)系,且行波效應(yīng)影響范圍與結(jié)構(gòu)高度有關(guān)而與跨度基本無關(guān);結(jié)構(gòu)長度增加會增大行波效應(yīng)的影響程度及影響范圍??梢?,高通濾波的最佳截止頻率在不同應(yīng)用中需具體分析但不宜小于0.1Hz,分析此類結(jié)構(gòu)行波效應(yīng)僅需針對上弦縱桿,而行波效應(yīng)對結(jié)構(gòu)的影響與三維尺寸及支承方式均有關(guān)。
[關(guān)鍵詞]雙層柱面網(wǎng)殼; 地震響應(yīng)規(guī)律; 三維尺寸; 最佳截止頻率; 高通濾波; 行波效應(yīng)
中圖分類號:TU311-3 文獻(xiàn)標(biāo)識碼:A文章編號:1002-848X(2021)12-0069-06
Traveling wave effect of double-layer cylindrical latticed shells with different three-dimensional sizes
ZHOU Xiaolong1,2, CHEN Haiyang1,2, ZHOU Zhanxue1,2, ZHANG Yudong1,2, HU Jianlin1,2, RONG Zepeng1
(1 School of Civil Engineering, Hebei University of Architecture,Zhangjiakou 075000, China;2 Hebei Key Laboratory of Diagnosis, Reconstruction and Anti-disaster of Civil Engineering,Zhangjiakou 075000, China)
Abstract: In order to research the best cut-off frequency of high-pass filtering and the relation between three-dimensional sizes of large-span spatial structure and traveling wave effect, the time-history method was used to investigate seismic response of double-layer cylindrical latticed shells with different three-dimensional sizes under multiple-support excitation and single excitation. The results show that the deviation of zero-line of original seismic records can be removed effectively by high-pass filtering with cut-off frequency of no less than 0.1Hz, and the best cut-off frequency of various seismic records which result in the maximum seismic response of the structure are different. The traveling wave effect has no obviously disadvantaged effect on transverse and web members, and has greatly disadvantaged effect on longitudinal members, which internal force is usually small at the bottom chord and large at the top chord. The increase of height or span of structure decreases the degree of the traveling wave effect, which is irrelevant with height-span ratio, and the range of the traveling wave effect is not related to the span but height. The increase of length of structure increases the degree and range the traveling wave effect affects. It is concluded that the best cut-off frequency of high-pass filtering should be analyzed specially in different practices but not be less than 0.1Hz, and only the longitudinal members at the top chord are needed for the research of the traveling wave effect, and the influence traveling wave effect results in is both related to the three-dimensional sizes and supporting form.
Keywords:double-layer cylindrical latticed shell; seismic response law; three-dimensional sizes; best cut-off frequency; high-pass filtering; traveling wave effect
*國家自然科學(xué)基金項目(51878242),河北省高校百名優(yōu)秀創(chuàng)新人才支持計劃(SLRC2017033),河北省高等學(xué)??茖W(xué)技術(shù)研究項目(Z2018203)。
作者簡介:周小龍,碩士,講師,Email: 819061818@qq.com。