振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
11期
178-182
,共5页
超高层建筑%风重耦合效应%非线性振动%风振
超高層建築%風重耦閤效應%非線性振動%風振
초고층건축%풍중우합효응%비선성진동%풍진
extra-high buildings%wind-gravity coupled effect(WGCE)%non-linear vibration%wind-induced vibra-tion
风重耦合效应是指高耸结构侧向变形受到风和重力共同影响而引起结构动力特性发生变化的现象。为了研究风重耦合效应的作用机理,建立了结构几何非线性动力方程。对于顺风向风振,可以将方程分解为平均风作用下方程和脉动风作用下方程,脉动方程是非线性方程,其系数与平均风作用下结构位于相关。利用等效线性法可以将脉动方程转化为线性方程求解,最后通过随机振动理论获得结构响应解。计算结果表明:结构重刚比是影响风重耦合效应最重要的因素,顺风向脉动风产生的结构顶部的位移、速度、加速度响应以及底部弯矩响应变化量随着重刚比增大而增大,而对底部剪力响应没有影响。
風重耦閤效應是指高聳結構側嚮變形受到風和重力共同影響而引起結構動力特性髮生變化的現象。為瞭研究風重耦閤效應的作用機理,建立瞭結構幾何非線性動力方程。對于順風嚮風振,可以將方程分解為平均風作用下方程和脈動風作用下方程,脈動方程是非線性方程,其繫數與平均風作用下結構位于相關。利用等效線性法可以將脈動方程轉化為線性方程求解,最後通過隨機振動理論穫得結構響應解。計算結果錶明:結構重剛比是影響風重耦閤效應最重要的因素,順風嚮脈動風產生的結構頂部的位移、速度、加速度響應以及底部彎矩響應變化量隨著重剛比增大而增大,而對底部剪力響應沒有影響。
풍중우합효응시지고용결구측향변형수도풍화중력공동영향이인기결구동력특성발생변화적현상。위료연구풍중우합효응적작용궤리,건립료결구궤하비선성동력방정。대우순풍향풍진,가이장방정분해위평균풍작용하방정화맥동풍작용하방정,맥동방정시비선성방정,기계수여평균풍작용하결구위우상관。이용등효선성법가이장맥동방정전화위선성방정구해,최후통과수궤진동이론획득결구향응해。계산결과표명:결구중강비시영향풍중우합효응최중요적인소,순풍향맥동풍산생적결구정부적위이、속도、가속도향응이급저부만구향응변화량수착중강비증대이증대,이대저부전력향응몰유영향。
Wind-gravity coupled effect(WGCE)is a phenomenon that dynamic characters of tall and slender structures are affected by both wind and gravity.In order to study the action mechanism of WGCE,the geometric nonlinear dynamic equation of a tall structure was built.The dynamic equation under load along wind could be divided into a equation under average wind load and the other one under pulse wind load.The latter was a nonlinear equation whose parameters were relative to the structural displacements calculated under average wind.The equation under pulse wind could be converted into a linear ont to be solved with the equivalent linearization method.The results showed that gravity-rigidity ratio is an important factor on WGCE;the displacement,velocity,acceleration on the top of the structure, and the moment at the bottom of the structure increase with increase in gravity-rigidity ratio while the shear at the bottom of the structure does not change.