Computational Mechanics ’86 1986
DOI: 10.1007/978-4-431-68042-0_21
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The Finite Strip-Element Method

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Cited by 9 publications
(10 citation statements)
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“…It is thus obvious that [13,14,16,18] both the average acceleration method ( = 1/4, = 1/2) and the constant acceleration method ( = 1/2, = 1) meet the unconditionally stable condition, while the linear acceleration method ( = 1/6, = 1/2) and the central difference method ( = 0, = 1/2) are the conditionally stable method. In general, the accuracy of Newmark method depends on the time interval, the physical parameters of the system, and the loading condition.…”
Section: Algorithmic Damping Of the Newmark Methodmentioning
confidence: 99%
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“…It is thus obvious that [13,14,16,18] both the average acceleration method ( = 1/4, = 1/2) and the constant acceleration method ( = 1/2, = 1) meet the unconditionally stable condition, while the linear acceleration method ( = 1/6, = 1/2) and the central difference method ( = 0, = 1/2) are the conditionally stable method. In general, the accuracy of Newmark method depends on the time interval, the physical parameters of the system, and the loading condition.…”
Section: Algorithmic Damping Of the Newmark Methodmentioning
confidence: 99%
“…A direct time-integration scheme is used for solving (4), in which the acceleration and the velocity within each time step are taken as the following equations of the Newmark assumption [18]:…”
Section: Equations Of Motion Of the Block Systemmentioning
confidence: 99%
“…For the FEM, special treatments and complex modifications are necessary to deal with problems of this kind, such as the arc-length method and co-rotational coordinate approach [27]. However, in the MFEM, particles are assumed to be rigid, and thus rigid body motion of particles can be removed naturally in the process of solving the pure displacement of contact points using the rigid body kinematics.…”
Section: Mdem For Modelling Geometric Nonlinearitymentioning
confidence: 99%
“…The procedure to handle the influence of the shear deflection is as follows: the beam deflection is divided into two parts which are caused by bending and shear, respectively, and the two kinds of deflections are subsequently analyzed with the classical beam theory separately, and thereafter, the desired consequence could be obtained through the superposition of the two results. The stiffness and mass matrices of the nth (n = 1, 2) Timoshenko beam element and the deducing process could be found in Wang 16 , Doyle 17 , Pilkey, 18 and Du et al 19 m e is the mass of the element per unit length. I me and J me are the diametral and polar mass moments of inertia of the element per unit length, respectively.…”
Section: Timoshenko Beam Elementmentioning
confidence: 99%