长沙理工大学学报:自然科学版
長沙理工大學學報:自然科學版
장사리공대학학보:자연과학판
Journal of Changsha University of Science and Technology:Natural Science
2011年
2期
35-39,50
,共6页
陈得良%王文亭%刘峰
陳得良%王文亭%劉峰
진득량%왕문정%류봉
Timoshenko梁%裂纹%钢筋约束效应%固有频率
Timoshenko樑%裂紋%鋼觔約束效應%固有頻率
Timoshenko량%렬문%강근약속효응%고유빈솔
Timoshenko beam%crack%effect of reinforced constraints%natrual frequency
从柔度系数和裂纹应力强度因子的基本关系出发,基于Timoshenko梁理论,建立了考虑钢筋约束效应的开裂混凝土梁模型,得到了含裂纹简支梁的固有频率特征方程.通过数值分析,讨论了不同裂纹长度和深度以及钢筋约束效应对梁前三阶固有频率的影响.研究结果表明,开裂混凝土梁在钢筋的约束效应下,其固有频率大于不计及钢筋约束效应的情况,且裂纹深度和位置的变化会对结构的固有频率产生影响.
從柔度繫數和裂紋應力彊度因子的基本關繫齣髮,基于Timoshenko樑理論,建立瞭攷慮鋼觔約束效應的開裂混凝土樑模型,得到瞭含裂紋簡支樑的固有頻率特徵方程.通過數值分析,討論瞭不同裂紋長度和深度以及鋼觔約束效應對樑前三階固有頻率的影響.研究結果錶明,開裂混凝土樑在鋼觔的約束效應下,其固有頻率大于不計及鋼觔約束效應的情況,且裂紋深度和位置的變化會對結構的固有頻率產生影響.
종유도계수화렬문응력강도인자적기본관계출발,기우Timoshenko량이론,건립료고필강근약속효응적개렬혼응토량모형,득도료함렬문간지량적고유빈솔특정방정.통과수치분석,토론료불동렬문장도화심도이급강근약속효응대량전삼계고유빈솔적영향.연구결과표명,개렬혼응토량재강근적약속효응하,기고유빈솔대우불계급강근약속효응적정황,차렬문심도화위치적변화회대결구적고유빈솔산생영향.
Based on the relationship between the flexibility rate and crack stress intensity factor, the cracked concrete beam model considering the effect of reinforced constraints is established. The characteristic equation of a simple supported cracked beam is acquired. Considering reinforced constraints effect or not, the former three natural frequencies with various crack depths and positions are investigated. The numerical analysis shows that the natural frequencies of cracked concrete beam increases, compared with the case ignoring effects of reinforced constraints and the natural frequency varies with the crack depth and position.