密肋空腔大板的动力特性及响应分析
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摘要
基于密肋空腔板的梁板模型,将密肋板离散成梁系与上下层板的混合结构,梁板协调运动,采取能量法,运用Hamilton原理推导的Lagrange方程来建立密肋空腔板的运动微分方程,借助三次B样条函数和样条配点法求解方程,实现密肋空腔大板动力问题的半数值半解析解法,进而研究结构的动力行为以及结构几何参数的影响。
Based on the beam-plate model of the Hollow-ribbed plate,the ribbed plate was discretized into the mixed structure of the beam and the upper and lower plates,and the beam-plate coordinated motion was adopted. The Lagrange equation derived from the Hamilton principle was used to build the differential equations of motion. The cubic B spline function and the spline collocation method was used to solve the dynamic problem of the Hollow-ribbed plate,and to realize the semi-numerical and semi-analytical solution for the dynamic problem of the Hollow-ribbed plat eand then the dynamic behavior of the structure and the influence of the geometric parameters of the structure were studied.
Based on the beam-plate model of the Hollow-ribbed plate,the ribbed plate was discretized into the mixed structure of the beam and the upper and lower plates,and the beam-plate coordinated motion was adopted. The Lagrange equation derived from the Hamilton principle was used to build the differential equations of motion. The cubic B spline function and the spline collocation method was used to solve the dynamic problem of the Hollow-ribbed plate,and to realize the semi-numerical and semi-analytical solution for the dynamic problem of the Hollow-ribbed plat eand then the dynamic behavior of the structure and the influence of the geometric parameters of the structure were studied.
引文
[1]Chung Lan,Lee Sang-Hyun,Cho Seung-Ho,et al.Investigations on Flexural Strength and Stiffness of Hollow Slabs[J].Advances in Structural Engineering,2010,13(4):591-601.
[2]Hull A J,John R.Welch.Elastic Response of an Acoustic on a Rib-stiffened Plate[J].Journal of Sound and Vibration,2010,4(12):4192-4211.
[3]王其明,马克俭,陈志华,等.以石膏为模盒的钢筋混凝土密肋空腔大板试验研究[J].空间结构,2012,18(3):3-7.
[4]胡雄伟,梁兴文,梁敏.关于拟梁法计算现浇混凝土双向板楼盖内力和挠度的讨论[J].工业建筑.2010,40(s1):270-273.
[5]黄川腾,王志军,邓然,等.考虑剪切变形的箱型空心楼盖拟板法研究[J].工程力学,2015,32(12):198-207.
[6]张琳,聂孟喜,仝辉.三次和五次B样条函数在动力响应分析中的应用[J].清华大学学报:自然科学版,2006,46(3):327-330.
[7]陈军明,吴代华.样条配点法分析正交正放类网架的动力响应[J].空间结构,1999,5(1):14-19.
[8]钱坤,郭猛,袁泉.密肋复合墙板支撑框架结构自振周期计算方法[J].振动与冲击,2012,31(10):36-39.
[2]Hull A J,John R.Welch.Elastic Response of an Acoustic on a Rib-stiffened Plate[J].Journal of Sound and Vibration,2010,4(12):4192-4211.
[3]王其明,马克俭,陈志华,等.以石膏为模盒的钢筋混凝土密肋空腔大板试验研究[J].空间结构,2012,18(3):3-7.
[4]胡雄伟,梁兴文,梁敏.关于拟梁法计算现浇混凝土双向板楼盖内力和挠度的讨论[J].工业建筑.2010,40(s1):270-273.
[5]黄川腾,王志军,邓然,等.考虑剪切变形的箱型空心楼盖拟板法研究[J].工程力学,2015,32(12):198-207.
[6]张琳,聂孟喜,仝辉.三次和五次B样条函数在动力响应分析中的应用[J].清华大学学报:自然科学版,2006,46(3):327-330.
[7]陈军明,吴代华.样条配点法分析正交正放类网架的动力响应[J].空间结构,1999,5(1):14-19.
[8]钱坤,郭猛,袁泉.密肋复合墙板支撑框架结构自振周期计算方法[J].振动与冲击,2012,31(10):36-39.