Based on the scalar diffraction theory and the boundary condition of rayleigh - sommerfeld , the accurate on - axis propagating wave function of plane wave diffracted by small circular band is obtained by solving the first integral of rayleigh - sommerfeld 摘要從標量衍射理論出發,采用瑞利索末菲衍射邊界條件,通過求解第一類瑞利索末菲衍射積分得到平面波經圓環衍射后軸上的波函數,進而分析軸上的光強特性以及光強極值數量、位置和大小與衍射圓環內外孔徑的關系。
Furthermore , the fiber volume fraction of each inclined and horizontal unidirectional " lamina was assumed to be the same as that of the composites . three - dimensional stress - strain analysis was applied to each unidirectional lamina that was assumed to be transversely isotropical under on - axis coordinate system . carrying out the integration and averaging of stiffness yielded the effective elastic moduli of 3 - d braided structural composites 采用三維應力?應變分析,在單胞的長度方向積分和平均,在給定的應變邊界條件下,采用剛度體積平均的方法,預測三維編織結構復合材料的有效彈性模量;在空間多向應力的基礎上,通過對三維編織結構復合材料破壞機理的探討,摘要提出了適用于三維編織復合材料細觀強度失效準則,預測三維編織結構復合材料的強度性能。
A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the helmhotz - kirchhoff integral theorem and the kirchhoff ' s boundary conditions . it is studied the nonparaxial on - axis intensity distribution throughout the whole space behind a circular aperture . an accurate formula to calculate the fresnel number of circular aperture is presented and the validity of usual fresnel number formula is reexamined . by using the analytical formula and diffraction integral formula , some numerical simulation comparisons are done , and it is shown that the results of the two methods are completely coincident 用亥姆霍茲-基爾霍夫積分定理和基爾霍夫邊界條件,推導出了平面波經小圓孔非傍軸衍射時軸上強度的簡單解析表達式,研究了平面波經小圓孔后整個衍射空間非傍軸的軸上光強分布.給出了計算圓孔菲涅爾數的精確公式,重新檢查了通常的菲涅爾數公式的有效性.數值計算顯示,應用解析表達式所得的結果與應用衍射積分公式所得的結果完全一致
With the typical on - axis fatigue tests to get the relative s - n curves of unidirectional laminates , executed at certain stress ratio , it is possible to predict the fatigue life of multidirectional laminates subjected to cyclic stresses of different stress ratios . this would tremendously reduce test costs for laminate structures 考慮了層壓板中單向層面內多軸應力和平均應力的影響,在已知單向板在確定應力比下受典型單軸循環應力的s - n曲線的基礎上,預測任意鋪疊次序層壓結構在不同應力比的循環載荷下的疲勞壽命。