Nonlinear Vibration of Ladle Crane due to a Moving Trolley

Abstract

The structural vibration of the main beam of a crane causes fatigue damage and discomfort to the driver. The swing of the payload has an effect on positioning precision, especially for a ladle crane, and this directly affects production safety. To study the influence of system parameters on the vibration of a crane's main beam and the angle of the payload, a system consisting of the main beam, trolley, payload, and cabin was constructed. A rigid-flexible coupling dynamic model of a moving trolley with a hanging payload that moves on the flexible main beam with a concentrated cabin mass is established, and the direct integration method is used to solve the nonlinear differential equations of system vibration, which are obtained through Lagrange's equation. Then, the time domain responses of the flexible main beam, payload angle, and cabin vibration are obtained. The influences of the trolley running speed, quality of the payload, and quality and position of the cabin on the vibration of the main beam and payload angle are analyzed. The results indicate that the amplitude of the main beam is directly proportional to the quality of the trolley, payload, and cab; the position of the cabin is closer to the mid-span; the amplitude of the main beam is larger; the structural damping has some influence on the vibration of the main beam; and the swing angle of the payload is related to the maximum running speed of the trolley, acceleration time, and length of the wire rope. In order to reduce the vibration of the main beam and cabin, the connection stiffness of the cabin should be ensured during installation.

Dynamic Responses of an Overhead Crane’s Beam Subjected to a Moving Trolley with a Pendulum Payload

“…As can be seen from Figure 3, the two calculation results were consistent with the underlying trend. A close match can also be observed between the results shown in Case 2 [30] and the model developed in this paper. Since the deviations between the three curves are quite small, the formulations and computer programs developed in this paper should be acceptable methods of calculating the dynamic responses of a beam when subjected to a moving trolley.…”

“…e length of the beam was L � 10 m and the cross-sectional area was A � 9 × 10 −4 m 2 , and the second moment of area was I � 1.04 × 10 −6 m 4 . e above parameters for the beam were the same as in references [29,30]. Figure 3 shows the graphical time histories for the vertical central deflections of the simply supported beam.…”

“…Response. Figure 6 shows the phase plane illustrations Figure 3: e calculated results for the central deflections using references [29,30].…”

Dynamic Response of a Casting Crane Rigid‐Flexible Coupling System to High Temperature

“…Existing crane models do not take into account the mass m p and swing angle θ x of the payload; thus, without considering factors such as cab weight, connection mode, and installation position, the existing mathematical model cannot replicate the actual working conditions of the crane. erefore, a physical model that more closely simulates the actual working conditions of the crane ( Figure 6) is proposed [29]. According to the crane system dynamics model during the operation of trolley shown in Figure 6, the forces on the system mainly include the gravity loads, inertial force, structural elastic force, and dissipative force of each component.…”

Dynamic Response of a Gantry Crane’s Beam Subjected to a Two-Axle Moving Trolley

“…Many researchers used the assumed mode method to establish the dynamic model of overhead crane systems [2][3][4][5] and quayside container crane systems [6]. It is found that the value of the beam deflection increases by increasing the total mass of the trolley and payload [2][3][4]. In [2], the authors also found that, for given masses of the trolley and payload, the location and the value of the maximum beam deflection are dependent upon the trolley speed.…”