烟台大学学报(自然科学与工程版)
煙檯大學學報(自然科學與工程版)
연태대학학보(자연과학여공정판)
JOURNAL OF YANTAI UNIVERSITY(NATURAL SCIENCE AND ENGINEERING EDITION)
2015年
1期
49-53,69
,共6页
自振频率%能量变分原理%钢-混凝土组合梁%剪力滞%滑移
自振頻率%能量變分原理%鋼-混凝土組閤樑%剪力滯%滑移
자진빈솔%능량변분원리%강-혼응토조합량%전력체%활이
natural vibration frequency%energy variational principle%steel-concrete composite beams%shear lag%slip
根据结构中钢梁与混凝土板的相对滑移、钢梁翼缘和混凝土板的剪力滞效应以及结构的挠度情况,假设结构的纵向位移函数,得到结构的能量泛函;基于能量变分原理,推导结构的运动微分方程;针对简支钢-混凝土组合梁,考虑简谐自由振动的特征,得到了有阻尼振动的一阶自振频率;依此分析了剪力滞和滑移以及结构的几何参数对频率修正系数的影响。
根據結構中鋼樑與混凝土闆的相對滑移、鋼樑翼緣和混凝土闆的剪力滯效應以及結構的撓度情況,假設結構的縱嚮位移函數,得到結構的能量汎函;基于能量變分原理,推導結構的運動微分方程;針對簡支鋼-混凝土組閤樑,攷慮簡諧自由振動的特徵,得到瞭有阻尼振動的一階自振頻率;依此分析瞭剪力滯和滑移以及結構的幾何參數對頻率脩正繫數的影響。
근거결구중강량여혼응토판적상대활이、강량익연화혼응토판적전력체효응이급결구적뇨도정황,가설결구적종향위이함수,득도결구적능량범함;기우능량변분원리,추도결구적운동미분방정;침대간지강-혼응토조합량,고필간해자유진동적특정,득도료유조니진동적일계자진빈솔;의차분석료전력체화활이이급결구적궤하삼수대빈솔수정계수적영향。
Considering the following conditions for steel-concrete composite beam: the relative slip between the steel beam and the concrete plate, the shear lag effect between the flange of the steel beam and the concrete plate, and the deflection of the structure, the energy functions of the structure are obtained on basis of the assumption of the longitudinal displacement functions. Based on the energy variational principle, the vibration differential equa-tions of the structures are derived. The first order natural vibration frequency for simply supported steel-concrete composite beams is obtained by considering the harmonic characteristics of free vibration, and the influence of shear lags and slips as well as geometric parameters of the structures on the frequency modifying coefficient are analyzed.