Dynamic Characteristics and Design Criteria for a Class of Vibration-Producing Machines

1963 ◽  
Vol 85 (3) ◽  
pp. 237-242
Author(s):  
Arthur D. Brickman ◽  
Barton L. Jenks

Many self-contained machines used in industry serve to generate a sustained mechanical vibration for performing such diverse operations as vibration testing, hammering, material conveying, impacting, and screening. A particular class of such machines having only plane motion is idealized as a dynamic “vibrator” consisting of a two-mass, spring-coupled system driven internally by an oscillatory force. A dynamic analysis of this system is presented to show that the steady-state motion has both translational and rotational components. Specific methods are given for predicting the resultant direction and amplitude of motion for any point in the vibrator system. Results of the dynamic analysis show quantitatively the effect of system resonance, mass distribution, gravity-center configuration, and internal damping on vibrator operation and these design factors are discussed in terms of typical vibrator applications.

Author(s):  
Benjamin A. M. Owens ◽  
Brian P. Mann

This paper explores a two degree-of-freedom nonlinearly coupled system with two distinct potential wells. The system consists of a pair of linear mass-spring-dampers with a non-linear, mechanical coupling between them. This nonlinearity creates fractal boundaries for basins of attraction and forced well-escape response. The inherent uncertainty of these fractal boundaries is quantified for errors in the initial conditions and parameter space. This uncertainty relationship provides a measure of the final state and transient sensitivity of the system.


2018 ◽  
Vol 89 (2) ◽  
pp. 245-276 ◽  
Author(s):  
Maziar Mohammadzadeh ◽  
Mohammadreza Arbabtafti ◽  
Majid Shahgholi

2012 ◽  
Vol 238 ◽  
pp. 719-722
Author(s):  
Zhen Xia Li ◽  
Yuan Zhao Chen

Dynamic responses of coupled system were analyzed when the speed of train was 350km/h and the transition was filled with graded broken stones mixed 5% cement. Results indicate that setting form of bridge-approach embankment section has little effect on dynamic responses, thus designers can choose it on account of practical circumstances. Based on the study from vehicle-track dynamics, we suggest that the coefficient of subgrade reaction (K30) should be greater than 190MPa within 0-5m zone behind abutment and be greater than 150MPa in other zones.


Author(s):  
Hua Lei ◽  
Huijün Hu ◽  
Yang Lu

A profiled chamber metering pump (PCMP) is a new type of positive-displacement vane pump which is composed of a special stator and a rotor–slide assembly. The face-shaped curve of the inner chamber of the stator is formed by means of two quarter circular arcs and two quarter noncircular arcs, and one of the two quarter noncircular arcs is defined as transition curve. The geometry of the transition curve directly affects the dynamic performances of the pump system, including its mechanical vibration, friction, wear, and kinetic losses. This paper discusses a set of dynamic analysis methods that combine kinetic loss control with vibration control for optimization of the transition curve of the PCMP. At first, basic conception and work line on the method are explained. In a second step, by means of force analysis, a kinetic loss model is established. Then, the model is used to examine a group of vibration optimized curves in polynomial form, and kinetic losses caused by different mechanical resistance forces are calculated. Finally, through a comparison analysis together with vibration and kinetic losses, comprehensive optimal transition curves can be obtained.


2018 ◽  
Vol 45 (4) ◽  
pp. 314-327
Author(s):  
Hamed Tajammolian ◽  
Faramarz Khoshnoudian

Recent studies show that rotational components of earthquakes can amplify the floor acceleration in a base-isolated structure. As a result, the seismic force of nonstructural components could be significantly increased. In this paper, a simple rectangular deck with various geometrical properties mounted on triple concave friction pendulum (TCFP) bearings is examined. At first a set of three translational components from 25 near-fault ground motion records are considered. Then, three rotational components, i.e., torsional and two rocking motions are computed for each earthquake. The results of nonlinear dynamic analysis in a rectangular structure with an aspect ratio in plan equal to 3, demonstrate that the acceleration approximately intensifies 3.4 times in presence of all six ground motion components compared to three translational ones. Finally, a new formula is proposed to determine the maximum acceleration of base-isolated structure without performing the dynamic analysis due to rotational components of ground motions.


1987 ◽  
Vol 40 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Dimitri E. Beskos

A review of boundary element methods for the numerical solution of dynamic problems of linear elasticity is presented. The integral formulation and the corresponding numerical solution of three- and two-dimensional elastodynamics from the direct boundary element method viewpoint and in both the frequency and time domains are described. The special case of the anti-plane motion governed by the scalar wave equation is also considered. In all the cases both harmonic and transient dynamic disturbances are taken into account. Special features of material behavior such as viscoelasticity, inhomogeneity, anisotropy, and poroelasticity are briefly discussed. Some other nonconventional boundary element methods as well as the hybrid scheme that results from the combination of boundary and finite elements are also reviewed. All these boundary element methodologies are applied to: soil-structure interaction problems that include the dynamic analysis of underground and above-ground structures, foundations, piles, and vibration isolation devices; problems of crack propagation and wave diffraction by cracks; and problems dealing with the dynamics of beams, plates, and shells. Finally, a brief assessment of the progress achieved so far in dynamic analysis is made and areas where further research is needed are identified.


Author(s):  
Partha Chakrabarti

A mooring facility for a Floating Storage and Offloading (FSO) system, due to site conditions such as shallow water, often uses a fixed mooring tower for mooring of the FSO. When a fixed mooring tower in the form of a jacket structure is used, the turntable is mounted on the top of the jacket so that the FSO can weathervane due to actions of wind, wave and current forces. Product swivels are also located on this structure for uninterrupted flow of the product to the FSO when it rotates. The connection of the FSO to the turntable is through a rigid yoke. The yoke consists of two yoke arms meeting at a point hinged at the turntable, one large diameter cylinder for providing the stabilizing ballast load and two pendants supporting the ballast. The jacket has to be designed for the mooring loads in addition to the wind, wave and current loads on itself. The rigid yoke system is designed so that the varying draft conditions of the FSO as well as its motions can be suitably handled and absorbed. Complications may arise when the jacket is located in a seismically active site. When a site is prone to very strong ground motions, seismic response of the jacket in conjunction with the moored FSO has to be studied. The additional requirement is that any vibration of the jacket is suitably absorbed by the yoke system or a suitable isolation device is designed between the link or the yoke structure and the FSO. The weight of the suspended mass is a key design variable which affects this behavior. A structural dynamic model of the coupled jacket-yoke-frame-FSO system is analyzed using nonlinear time domain analysis technique. The calibrated El Centro ground accelerations are used for this analysis as a representative seismic excitation. A comparison of the results for jacket alone and the coupled system enables us to determine the effect of the yoke-frame-FSO on the dynamic response. The requirement, if any, of vibration isolation device for the nonlinear link (yoke) structure is decided from the dynamic analysis results. The dynamic analysis of the coupled system is complex. The complexities in the model arise due to: • The nonlinearity of the soil-pile system; • Nonlinearity of the yoke mechanism; • The fact that the FSO is a floating structure and it is free from the base excitation; • The FSO involves a large mass and is essentially free floating in water. The dynamic analyses are performed in several stages in view of the above complexities. Initially, the mode shapes and frequencies of the jacket alone are evaluated. Then the jacket is analyzed using the response spectrum approach with the design seismic spectrum. Subsequently time domain analysis of the jacket alone is performed using the calibrated El Centro seismic time history. Finally, the coupled system is analyzed for the time history of ground motion. Since the seismic event represents the design Strength Level Earthquake (SLE) condition, which is a rare event, only the FSO is coupled to the jacket, the offtake tanker is not assumed to be present during this extreme event. The nonlinear time domain analysis includes the nonlinear link (yoke) which is a mechanism by virtue of the hinges present. Therefore, the analysis requires geometric nonlinearity of the link to be considered to simulate the large displacements and the large rotations of the link, in addition to the nonlinearities of the pile-soil system. From the results of the analyses conclusions are drawn about effectiveness of vibration isolation by comparing the results of the jacket-yoke-FSO system to those of the jacket alone.


2018 ◽  
Vol 18 (06) ◽  
pp. 1850077
Author(s):  
Seyed Mojtaba Hozhabrossadati ◽  
Ahmad Aftabi Sani

This paper deals with the free vibration response of MDOF mass-spring systems with time-variable mass and constant stiffness. To show the necessity of this study, a review on the related published articles is presented. After formulating the governing initial value problem which is a coupled system of differential equations with variable coefficients, the differential transform method (DTM) is employed to obtain an analytical solution. The proposed solutions are verified against exact results available in the literature. It is demonstrated that the effect of time-variable mass is equivalent to viscous damping. This viscous damping can be positive or negative depending on the sign of the mass change rate. This role is thoroughly investigated via numerical examples.


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