西北工业大学学报
西北工業大學學報
서북공업대학학보
JOURNAL OF NORTHWESTERN POLYTECHNICAL UNIVERSITY
2014年
5期
793-798
,共6页
孟俊苗%邓子辰%张凯%周加喜
孟俊苗%鄧子辰%張凱%週加喜
맹준묘%산자신%장개%주가희
各向异性%弹性常数%均匀化方法%固有频率%蜂窝夹层结构%应变能%代表体单元
各嚮異性%彈性常數%均勻化方法%固有頻率%蜂窩夾層結構%應變能%代錶體單元
각향이성%탄성상수%균균화방법%고유빈솔%봉와협층결구%응변능%대표체단원
基于应变能等效原理,将功能型多孔夹层板的夹芯层等效为均匀的各向异性材料,并通过考虑夹芯层的面内剪切作用,即将构成代表体单元的基元杆件考虑为Timoshenko梁,建立Timoshenko梁单元的应变和宏观应变之间的关系,得到等效固体代表体单元的应变能密度与宏观应变的关系,从而,给出相应的宏观等效弹性常数。最后,通过有限元方法计算实际正方形蜂窝夹层板和等效夹层板的结构响应和低阶振动频率,验证该方法的有效性,对比分析得知该方法较原方法具有更高的精度,说明考虑面内剪切作用的必要性。
基于應變能等效原理,將功能型多孔夾層闆的夾芯層等效為均勻的各嚮異性材料,併通過攷慮夾芯層的麵內剪切作用,即將構成代錶體單元的基元桿件攷慮為Timoshenko樑,建立Timoshenko樑單元的應變和宏觀應變之間的關繫,得到等效固體代錶體單元的應變能密度與宏觀應變的關繫,從而,給齣相應的宏觀等效彈性常數。最後,通過有限元方法計算實際正方形蜂窩夾層闆和等效夾層闆的結構響應和低階振動頻率,驗證該方法的有效性,對比分析得知該方法較原方法具有更高的精度,說明攷慮麵內剪切作用的必要性。
기우응변능등효원리,장공능형다공협층판적협심층등효위균균적각향이성재료,병통과고필협심층적면내전절작용,즉장구성대표체단원적기원간건고필위Timoshenko량,건립Timoshenko량단원적응변화굉관응변지간적관계,득도등효고체대표체단원적응변능밀도여굉관응변적관계,종이,급출상응적굉관등효탄성상수。최후,통과유한원방법계산실제정방형봉와협층판화등효협층판적결구향응화저계진동빈솔,험증해방법적유효성,대비분석득지해방법교원방법구유경고적정도,설명고필면내전절작용적필요성。
Under the condition that the strain energy of the periodic representative volume element ( RVE ) is e-quivalent to the elastic solid RVE, we improve the method for calculating the equivalent elastic constants by consid-ering the in-plane shear effect of a functional prismatic sandwich panel. The prismatic core is equalized to the aniso-tropic and homogenous material with the macroscopically equivalent elastic constants that are derived from the rela-tionship between strain and macro-strain of the Timoshenko beam theory. The effectiveness of the method is verified by comparing the structural response and the first five natural frequencies of a square prismatic sandwich panel with those of an equivalent sandwich panel;the verification results, given in Figs. 4, 5 and Table 1, and their analysis show preliminarily that our method that considers the in-plane shear effect can caculate more accurately.