In this paper, the general equations of dynamic stability for composite laminated plates are derived hyHamilton principle. These general equations can he used to consider those different factors that affect the dynami...In this paper, the general equations of dynamic stability for composite laminated plates are derived hyHamilton principle. These general equations can he used to consider those different factors that affect the dynamic stability of laminated plates. The factors are transverse shear deformation, initial imperfections, longitudinal and rotational inertia, and ply-angle of the fiber, etc. The solutions of the fundamental equations show that some important characteristics of the dynamic instability can only be got by the consideration and analysis of those factors展开更多
In this paper, the influence of init ial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates is studied. The governing e quation is deri...In this paper, the influence of init ial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates is studied. The governing e quation is derived. It is a nonlinear modified Mathieu Equation. Numerical solut ions of 5 typical composite materials namely, Glass_epoxy Scotch_1002, Aramid_ep oxy Kevlar_49, Boron_epoxy B4_5505, Graphite_epoxy T300_5208 and AS_3501 are co mputed. Results reveal that the existence of initial imperfection, and also coup ling effect,make the plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates. Coupl ing effect for different composite laminates, especially, for that with few laye rs, is different. If coupling effect is neglected, the design of plate structure s for buckling and dynamic stability would unconservatively be for more than 10% .展开更多
本文应用能量变分方法進行了綫性硬化材料的薄壳彈塑性分析。彈塑性内力功的計算采用将彈性功迭加一个折减的塑性功: t=integral from n=-h/2 to h/2 integral from n=0 to e_i σ_ide_idz=integral from n=-h/2 to h/2〔1/2Ee_1~2-1/2E...本文应用能量变分方法進行了綫性硬化材料的薄壳彈塑性分析。彈塑性内力功的計算采用将彈性功迭加一个折减的塑性功: t=integral from n=-h/2 to h/2 integral from n=0 to e_i σ_ide_idz=integral from n=-h/2 to h/2〔1/2Ee_1~2-1/2Ee_iω(e_i-e_T)〕dz 于是将考慮材料硬化的問題轉化为一个彈性問題迭加一个理想塑性問題,以此獲得壳体單元的彈塑性内力功的計算公式为: t=2/3E_1(P_εh+P_x h^3/12+λσ_T/2{integral from n=-h/2 to h/2〔|e_1|+|e_2|+|e_1+e_2|〕dz-e_Th}在P_(εx)~2=P_εP_x的特殊情况下为式中λ=1-E_1/E,E_1是线性硬化模数,P_ε、P_x、P_x是应变ε和x的二次齐次函数。所设定的变位函数中的待定参数由变分方δ11=0确定,其中11是总势能。此方法适用于旋转薄壳的轴对称变形问题。例题计算说明采用此方法可以简单地获得描述各种线性硬化情况的计算公式。圆柱壳受环状集中力弯曲的计算结果与的结果符合,但是本方法的计算工作量要少得多,且力学概念也比较容易理解,因此易于扩充解题的范围。展开更多
文摘In this paper, the general equations of dynamic stability for composite laminated plates are derived hyHamilton principle. These general equations can he used to consider those different factors that affect the dynamic stability of laminated plates. The factors are transverse shear deformation, initial imperfections, longitudinal and rotational inertia, and ply-angle of the fiber, etc. The solutions of the fundamental equations show that some important characteristics of the dynamic instability can only be got by the consideration and analysis of those factors
文摘In this paper, the influence of init ial imperfection and coupling between bending and extension on vibration, buckling and nonlinear dynamic stability of laminated plates is studied. The governing e quation is derived. It is a nonlinear modified Mathieu Equation. Numerical solut ions of 5 typical composite materials namely, Glass_epoxy Scotch_1002, Aramid_ep oxy Kevlar_49, Boron_epoxy B4_5505, Graphite_epoxy T300_5208 and AS_3501 are co mputed. Results reveal that the existence of initial imperfection, and also coup ling effect,make the plates much more sensitive to entering parametric resonance with amplitude greater than that of perfect plates. Coupl ing effect for different composite laminates, especially, for that with few laye rs, is different. If coupling effect is neglected, the design of plate structure s for buckling and dynamic stability would unconservatively be for more than 10% .
文摘本文应用能量变分方法進行了綫性硬化材料的薄壳彈塑性分析。彈塑性内力功的計算采用将彈性功迭加一个折减的塑性功: t=integral from n=-h/2 to h/2 integral from n=0 to e_i σ_ide_idz=integral from n=-h/2 to h/2〔1/2Ee_1~2-1/2Ee_iω(e_i-e_T)〕dz 于是将考慮材料硬化的問題轉化为一个彈性問題迭加一个理想塑性問題,以此獲得壳体單元的彈塑性内力功的計算公式为: t=2/3E_1(P_εh+P_x h^3/12+λσ_T/2{integral from n=-h/2 to h/2〔|e_1|+|e_2|+|e_1+e_2|〕dz-e_Th}在P_(εx)~2=P_εP_x的特殊情况下为式中λ=1-E_1/E,E_1是线性硬化模数,P_ε、P_x、P_x是应变ε和x的二次齐次函数。所设定的变位函数中的待定参数由变分方δ11=0确定,其中11是总势能。此方法适用于旋转薄壳的轴对称变形问题。例题计算说明采用此方法可以简单地获得描述各种线性硬化情况的计算公式。圆柱壳受环状集中力弯曲的计算结果与的结果符合,但是本方法的计算工作量要少得多,且力学概念也比较容易理解,因此易于扩充解题的范围。
