南昌工程学院学报
南昌工程學院學報
남창공정학원학보
JOURNAL OF NANCHANG INSTITUTE OF TECHNOLOGY
2011年
3期
15-20
,共6页
移动荷载%薄板%双Fourier级数%改进薄板理论%经典薄板理论
移動荷載%薄闆%雙Fourier級數%改進薄闆理論%經典薄闆理論
이동하재%박판%쌍Fourier급수%개진박판이론%경전박판이론
moving loads%rectangular plate%double Fourier transforms%improved plate theory%classical plate theory
采用Ambartsumyan改进的薄板理论,考虑剪切变形、转动惯量及板中性面弯曲正应力影响,分析了移动的荷载引起矩形薄板动力响应问题.荷载、位移采用双Fourier级数法,推导了由位移表示的薄板控制方程.数值计算分析了荷载速度、板尺寸等对板动力响应的影响,同时对比分析了改进薄板理论与经典薄板理论计算结果的差异.
採用Ambartsumyan改進的薄闆理論,攷慮剪切變形、轉動慣量及闆中性麵彎麯正應力影響,分析瞭移動的荷載引起矩形薄闆動力響應問題.荷載、位移採用雙Fourier級數法,推導瞭由位移錶示的薄闆控製方程.數值計算分析瞭荷載速度、闆呎吋等對闆動力響應的影響,同時對比分析瞭改進薄闆理論與經典薄闆理論計算結果的差異.
채용Ambartsumyan개진적박판이론,고필전절변형、전동관량급판중성면만곡정응력영향,분석료이동적하재인기구형박판동력향응문제.하재、위이채용쌍Fourier급수법,추도료유위이표시적박판공제방정.수치계산분석료하재속도、판척촌등대판동력향응적영향,동시대비분석료개진박판이론여경전박판이론계산결과적차이.
The response of a rectangular plate subjected to a moving load is investigated.An improved plate theory which includes the effects of shear deformation and rotatory inertia as well as normal stress to the plate surface is introduced and the equation of motion in terms of single displacement is derived.Solutions are obtained by applying Fourier transforms.The effects of the approximation methods of the plate theory on the response of the displacement and the stress couples are examined with regard to the load velocity,plate dimensions,etc.,in addition to the comparison with the results deriving frrom the classical plate theory.