Separation Between the Flexible Structure and the Moving Mass Sliding on It

Lee, U.

doi:10.1006/jsvi.1997.1287

Cited by 55 publications

(24 citation statements)

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“…Later, many researchers, for instance, Lee [8], Cifuentes [9], Akin and Mofid [10], Michaltsos et al [11], Xu et al [12], and Wu [13], found that the dynamic responses of structures due to moving load may not be accurately evaluated if the moving load is modelled by the moving force. To improve the drawback, they took the inertia effects of the moving load into consideration and replaced the moving load by the moving concentrated (or lumped) mass [8][9][10][11][12][13]. However, in practice, some moving loads are in the form of moving distributed mass rather than that of moving lumped mass.…”

Section: Introductionmentioning

confidence: 97%

Vibration analyses of a portal frame under the action of a moving distributed mass using moving mass element

2005

Numerical Meth Engineering

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SUMMARYFour kinds of moving mass elements, 1st-node, 2nd-node, full and short-range mass elements, are presented, where the 1st-node (or 2nd-node) mass element refers to that with mass distributed from the first node (or second node) to the arbitrary position of a two-node beam element, the full mass element is the special case of the 1st-node (or 2nd-node) mass element with mass distributed over the full length of the beam element, while the short-range mass element is the case with its location arbitrary on a beam element. If the total range of a distributed mass is denoted by R and the length of each beam element is denoted by , then, for the case of R , one may model the distributed mass on the beam using the combination of the 1st-node, 2nd-node and full mass elements, while for the case of R < , one may model the distributed mass using the short-range mass element. It has been found that the effects of the vertical (ȳ) and horizontal (x) inertia forces, Coriolis force and centrifugal force induced by the moving distributed mass can be easily taken into the formulations by means of the last concept. To illustrate the application of the presented theory, the dynamic analysis of a pinned-pinned beam and that of a portal frame under the action of a moving uniformly distributed mass are performed by means of the finite element method and the Newmark integration method. Numerical results show that some pertinent factors, such as Coriolis force, centrifugal force, acceleration, velocity and total range of the moving distributed mass, have significant influences on the vertical (ȳ) and horizontal (x) response of a structure.

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Section: Introductionmentioning

confidence: 97%

Vibration analyses of a portal frame under the action of a moving distributed mass using moving mass element

2005

Numerical Meth Engineering

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“…Their non-zero coefficients are given by [13] c cor, ij = 2m eq (t)V mx (t) i j (i, j = 2, 6, 8, 12) (30a) In the last expressions, V mx (t) is the velocity of the equivalent moving mass (see Figure 2) and 2 =Ñ (s) (20) and (21).…”

Section: Influence Of the Convective Accelerationsmentioning

confidence: 99%

“…For instance, Michaltsos et al [11] have studied the effect of a moving mass and other parameters, such as magnitude and velocity of the moving load, on the dynamic response of a simply supported beam. Lee [12,13] has investigated the effects of the separations between the beam (or the flexible structure) and the moving mass. Lee [14][15][16][17] has also studied the dynamic characteristics of the Timoshenko beam subjected to a moving mass by means of the analytical method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic responses of a three‐dimensional framework due to a moving carriage hoisting a swinging object

2004

Numerical Meth Engineering

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SUMMARYThe literature regarding the three-dimensional responses of a structure due to moving loads(s) is rare and that due to the moving swinging object has not been found yet. The purpose of this paper is to provide some information in this area, where the axial (x), vertical (ȳ) and horizontal (z) dynamic responses of the three-dimensional framework of a tyred overhead crane under the action of a moving trolley (m T ) hoisting a swinging object (m sw ) were calculated using the finite element method and the direct integration method. Instead of the conventional moving force problem where only the vertical (ȳ) inertia effect of the moving trolley was considered, the three-dimensional inertial effects due to the masses of both the moving trolley and the swinging object have been considered in this paper. To this end, an equivalent moving mass matrix has been presented and which is dependent on both the instantaneous swinging angle of the hoisted object (m sw ) and the instantaneous position of the moving trolley so that the contribution of the moving mass on the overall mass matrix of the entire structure itself is easily tackled. Finally, the title problem was solved by calculating the forced vibration responses of the three-dimensional framework with time-dependent overall mass and damping matrices and subjected to an equivalent moving force. Some factors pertinent to the title problem, such as the magnitude, velocity and acceleration of the moving trolley and the swinging angles of the hoisted object, were studied. Numerical results reveal that, in addition to the conventional dynamic responses in the vertical (ȳ) direction, the other two components in the axial (x) and horizontal (z) directions for a three-dimensional structure are also significant.

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“…Using the FEM, some researchers (Wu et al, 2001;Gerdemeli et al, 2011) have modelled the moving mass problem for beams. The separation phenomenon which can occur at some values of travelling velocities and system parameters during their travel can cause fundamental change in the dynamic behavior of structures (Lee, 1998). As for different engineering applications of moving mass structure problems, (Meirovitch, 1967;Yoshida and Weaver, 1971;Bathe, 1982;Reddy, 1984;Yang, 1986;Taheri, 1987;Bachmann, 1995;Kadivar and Mohebpour, 1998;Fryba, 1999;Wilson, 2002;Clough and Penzien, 2003;Szilard, 2004;Mohebpour et al, 2011;Oni and Awodola, 2011;Awodola, 2014) can be considered important and valuable references for analytical and FEM solutions and analysis of dynamic systems.…”

Section: Introductionmentioning

confidence: 99%

A new FEM procedure for transverse and longitudinal vibration analysis of thin rectangular plates subjected to a variable velocity moving load along an arbitrary trajectory

Esen

2015

Lat. Am. j. solids struct.

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A combined plate element is presented for the analysis of transverse and longitudinal vibrations of a thin plate which carries a load moving along an arbitrary trajectory with variable velocity. Depending on the acceleration of the point load on its trajectory on the plate surface, the combined element, which is a combination of the 24 DOF plate element and an equivalent mass element, represents transverse (z) inertia, Coriolis and centripetal and longitudinal (x, y) inertia effects of the moving load. In order to obtain the combined element, mass, damping and stiffness matrices of the equivalent mass element representing the mass are first derived by using the relations between nodal forces, nodal deflections and deflection-shape functions of the plate element and the inertia and other forces of the moving mass according to the global coordinates on the plate and local coordinates on the plate element. Then, the obtained property matrices of the equivalent mass element and property matrices of the plate element were added together in order to obtain the combined plate element. For verification, the suggested technique was applied on a simply supported beam-plate under a moving load, and agreements were obtained with existing literature. In addition, intensive analysis and simulations were conducted at different dimensionless mass rates (mass of the load/mass of the plate) and angular velocities for a circular motion on a CCCC plate, and the results are provided. Furthermore, analysis results are provided for moving force condition which neglects the inertia, Coriolis and centripetal effects of the load, and it was shown that the moving mass assumption generated very different results with moving load assumption especially at high mass ratio and velocity values. Analysis results made it clear that the dynamic behaviour of the plate was differently affected by an orbiting mass depending on its mass ratio, orbiting radius and angular velocity

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Separation Between the Flexible Structure and the Moving Mass Sliding on It

Cited by 55 publications

References 0 publications

Vibration analyses of a portal frame under the action of a moving distributed mass using moving mass element

Vibration analyses of a portal frame under the action of a moving distributed mass using moving mass element

Dynamic responses of a three‐dimensional framework due to a moving carriage hoisting a swinging object

A new FEM procedure for transverse and longitudinal vibration analysis of thin rectangular plates subjected to a variable velocity moving load along an arbitrary trajectory

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