發(fā)布時間：2018-05-29 11:32

  本文選題：箱梁 + 剪力滯��； 參考：《哈爾濱工業(yè)大學學報》2016年12期

【摘要】：為研究簡支薄壁箱梁中剪力滯效應對結構動力特性的影響,基于模態(tài)攝動法提出了一種求解薄壁箱梁自由振動的新方法.該方法以相同跨度等截面歐拉梁的頻率和模態(tài)為Ritz基函數(shù),將箱梁自由振動的微分方程組轉(zhuǎn)化為一組非線性代數(shù)方程進行求解.對于簡支箱梁,可進一步將代數(shù)方程組簡化為一元二次方程,從而得到精確的特征值和特征向量.在此基礎上,利用所得箱梁振動模態(tài)的解析表達式,提出了模態(tài)剪力滯系數(shù)的概念,從而建立了箱梁固有頻率和剪力滯效應之間的關系.隨后研究了模態(tài)剪力滯系數(shù)隨跨寬比、翼板抗彎剛度和截面抗彎剛度之比的變化規(guī)律.計算結果表明:簡支梁腹板處剪力滯系數(shù)最大且大于1,為正剪力滯效應;隨著模態(tài)階數(shù)的增加、跨寬比的減小和翼板抗彎剛度和截面抗彎剛度之比的增大,剪力滯效應呈現(xiàn)增大的趨勢.
[Abstract]:In order to study the influence of shear lag effect on the dynamic characteristics of thin-walled box girder, a new method for solving the free vibration of thin-walled box girder is proposed based on the modal perturbation method. In this method, the frequency and mode of Euler beam with the same span and equal section are Ritz basis functions, and the differential equations of free vibration of box girder are transformed into a set of nonlinear algebraic equations to be solved. For simply supported box girders, the algebraic equations can be further simplified to quadratic equations, and the exact eigenvalues and Eigenvectors can be obtained. On this basis, the concept of modal shear lag coefficient is proposed by using the analytical expression of vibration modes of box girder, and the relationship between natural frequency and shear lag effect of box girder is established. Then the variation of modal shear lag coefficient with the ratio of span to width bending stiffness of wing plate and section bending stiffness is studied. The results show that the shear lag coefficient at the web of simply supported beam is the largest and greater than 1, which is a positive shear lag effect, and with the increase of modal order, the ratio of span to width decreases and the ratio of bending stiffness to section stiffness increases. The shear lag effect shows an increasing trend.
【作者單位】： 北京科技大學土木工程系;中電建路橋集團有限公司;
【基金】：北京市自然科學基金(8143037)
【分類號】：U441.3

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本文編號：1950730