中国航空学报（英文版）
中國航空學報（英文版）
중국항공학보（영문판）
CHINESE JOURNAL OF AERONAUTICS
2005年
4期
336-345
,共10页
盒式梁%蜂窝%约束扭转%分离变量法%本征函数展开
盒式樑%蜂窩%約束扭轉%分離變量法%本徵函數展開
합식량%봉와%약속뉴전%분리변량법%본정함수전개
box beam%honeycomb%restrained torsion%method of variable separation%eigen function expansion
在刚性剖面假设的基础上分析具有蜂窝芯材薄壁盒式梁约束扭转问题.应用分离变量法,建立并求解了两个常微分支配方程.边界条件可以精确满足,同时,解答是用本征函数展开式表达的.扭矩图是由三角级数表示的,并用于决定上述本征函数展开式的待定系数.计算结果给出了蒙皮正应力与剪应力以及蜂窝芯材剪应力沿翼弦和翼展的分布规律.
在剛性剖麵假設的基礎上分析具有蜂窩芯材薄壁盒式樑約束扭轉問題.應用分離變量法,建立併求解瞭兩箇常微分支配方程.邊界條件可以精確滿足,同時,解答是用本徵函數展開式錶達的.扭矩圖是由三角級數錶示的,併用于決定上述本徵函數展開式的待定繫數.計算結果給齣瞭矇皮正應力與剪應力以及蜂窩芯材剪應力沿翼絃和翼展的分佈規律.
재강성부면가설적기출상분석구유봉와심재박벽합식량약속뉴전문제.응용분리변량법,건립병구해료량개상미분지배방정.변계조건가이정학만족,동시,해답시용본정함수전개식표체적.뉴구도시유삼각급수표시적,병용우결정상술본정함수전개식적대정계수.계산결과급출료몽피정응력여전응력이급봉와심재전응력연익현화익전적분포규률.
Restrained torsion of thin-walled box beam with honeycomb core is analyzed on the basis of rigid profile assumption. The method of variable separation is applied and two ordinary differential governing equations are established and solved. The boundary conditions are satisfied rigorously and the solutions are expressed by means of eigen function expansions. The diagram of torque is formulated by trigonometric series and used to determine the coefficients in above expansions. The results of computation provide the chord-wise and span-wise distributions of normal and shear stress in the face plate along with shear stress in the honeycomb core.
