Based on the Timoshenko beam model the equations of motion are obtained for large deflection of off-center impact of a column by a rigid mass via Hamilton's principle. These are a set of coupled nonlinear partial differential equations. The Newmark time integration scheme and differential quadrature method are employed to convert the equations into a set of nonlinear algebraic equations for displacement components. The equations are solved numerically and the effects of weight and velocity of the rigid mass and also off-center distance on deformation of the column are studied. (C) 2014 Elsevier Ltd. All rights reserved.
机构:
Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
Luo, Zheng Yuan
Bai, Bo Feng
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Xi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, State Key Lab Multiphase Flow Power Engn, Xian 710049, Shaanxi, Peoples R China
机构:
New Mexico Inst Min & Technol, Math Dept, 801 Leroy Pl, Socorro, NM 87801 USA
Sandia Natl Labs, POB 5800, Albuquerque, NM 87185 USANew Mexico Inst Min & Technol, Math Dept, 801 Leroy Pl, Socorro, NM 87801 USA
Duncan-Miller, G. C.
Stone, W. D.
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New Mexico Inst Min & Technol, Math Dept, 801 Leroy Pl, Socorro, NM 87801 USANew Mexico Inst Min & Technol, Math Dept, 801 Leroy Pl, Socorro, NM 87801 USA