CAJ | 학술논문

利用已提出的一种周期性板等效刚度求解新方法，研究了六角形蜂窝板在壁厚和单胞高度等在相当大的范围内变化时的等效刚度，给出了计算蜂窝板等效刚度的一系列解析近似公式，并对其进行了验证。这种新方法能够精确实现理论上严格的渐近均匀化方法，并具有代表体元法的直观简洁，可以根据单胞的不同尺寸采用不同的单元类型，大大提高了求解效率。最后讨论了文献中已有的近似解析解的精度、经典层合板理论成立的条件及泊松比的影响等。
이용이제출적일충주기성판등효강도구해신방법，연구료륙각형봉와판재벽후화단포고도등재상당대적범위내변화시적등효강도，급출료계산봉와판등효강도적일계렬해석근사공식，병대기진행료험증。저충신방법능구정학실현이론상엄격적점근균균화방법，병구유대표체원법적직관간길，가이근거단포적불동척촌채용불동적단원류형，대대제고료구해효솔。최후토론료문헌중이유적근사해석해적정도、경전층합판이론성립적조건급박송비적영향등。
Using a new method of calculating effective stiffnesses of periodic plate structures,the effective stiffnesses of hexagonal honeycomb plate are studied with various wall thicknesses and cell heights varying in large extent.A series of explicit approximate formulas are given to estimate the effective stiffnesses,and the results are verified.The new method can exactly realize asymptotic homogenization method which is strict in theory,and is easy to implement as the representive volume element (RVE)method.It is able to use different element types to model the honeycomb unit cell according to its specific sizes and improve efficiency.At last,the accuracy of the explicit approximate formulas,valid condition of the classical laminate theory and the influence of the Poisson's ratio are discussed.