振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2015年
1期
177-181,212
,共6页
加劲板%初始几何缺陷%动态屈曲%临界荷载%Hamilton 原理
加勁闆%初始幾何缺陷%動態屈麯%臨界荷載%Hamilton 原理
가경판%초시궤하결함%동태굴곡%림계하재%Hamilton 원리
stiffened plates%initial geometrical imperfection%dynamical buckling%critical loads%Hamilton principle
针对工程中常用的加劲板，研究了动态屈曲的求解方法。将加劲板分为母板与加劲肋两个部分考虑，其中母板按经典薄板理论计算，加劲肋视为 Euler 梁。假定加劲板的位移，利用 Hamilton 原理结合系统能量和振型叠加法建立了加劲板的动态屈曲特征方程。最后，选择四边简支加劲板进行数值分析，分析中考虑初始几何缺陷的影响，并讨论了初始几何缺陷、加劲肋的数量及其刚度的变化对动态屈曲临界荷载的影响。结果表明：一阶模态的初始几何缺陷对加劲板的临界荷载影响很大，而增加加劲肋的数量及其刚度可以提高加劲板的抗动态屈曲能力。研究结果也为加劲板的结构设计方法提供一定的参考。
針對工程中常用的加勁闆，研究瞭動態屈麯的求解方法。將加勁闆分為母闆與加勁肋兩箇部分攷慮，其中母闆按經典薄闆理論計算，加勁肋視為 Euler 樑。假定加勁闆的位移，利用 Hamilton 原理結閤繫統能量和振型疊加法建立瞭加勁闆的動態屈麯特徵方程。最後，選擇四邊簡支加勁闆進行數值分析，分析中攷慮初始幾何缺陷的影響，併討論瞭初始幾何缺陷、加勁肋的數量及其剛度的變化對動態屈麯臨界荷載的影響。結果錶明：一階模態的初始幾何缺陷對加勁闆的臨界荷載影響很大，而增加加勁肋的數量及其剛度可以提高加勁闆的抗動態屈麯能力。研究結果也為加勁闆的結構設計方法提供一定的參攷。
침대공정중상용적가경판，연구료동태굴곡적구해방법。장가경판분위모판여가경륵량개부분고필，기중모판안경전박판이론계산，가경륵시위 Euler 량。가정가경판적위이，이용 Hamilton 원리결합계통능량화진형첩가법건립료가경판적동태굴곡특정방정。최후，선택사변간지가경판진행수치분석，분석중고필초시궤하결함적영향，병토론료초시궤하결함、가경륵적수량급기강도적변화대동태굴곡림계하재적영향。결과표명：일계모태적초시궤하결함대가경판적림계하재영향흔대，이증가가경륵적수량급기강도가이제고가경판적항동태굴곡능력。연구결과야위가경판적결구설계방법제공일정적삼고。
An approach was presented to study the dynamical buckling of stiffened plates.The stiffened plate was divided into one plate and some stiffeners,with the plate analyzed based on the classical thin plate theory,and the stiffeners taken as Euler beams.Assuming the displacements of the stiffened plate,the Hamilton principle and modal superposition method were used to derive the eigenvalue equations of the stiffened plate according to the energy of the system.Numerical examples of simply supported stiffened plates were presented to study the critical loads with the initial geometrical imperfection considered.A detailed discussion on how the initial geometrical imperfection,the number and the flexural rigidity of stiffeners influence the critical load was carried out.The results show the initial geometrical imperfection in the 1st mode shape has a great effect on the critical load,and the increase of the number and the flexural rigidity of stiffeners can strengthen the dynamical buckling capacity.These conclusions can also provide references to the engineering design of stiffened plates.
