2 edition of Impact of a mass on a damped elastically supported beam. found in the catalog.
Impact of a mass on a damped elastically supported beam.
William Henry Hoppmann
Written in English
|LC Classifications||TG350 .H57|
|The Physical Object|
|Number of Pages||136|
|LC Control Number||a 50003174|
Grant, D. A. (December 1, ). "Vibration Frequencies for a Uniform Beam With One End Elastically Supported and Carrying a Mass at the Other End.". Cantilever Beam I Consider a mass mounted on the end of a cantilever beam. Assume that the end-mass is much greater than the mass of the beam. Figure A E is the modulus of elasticity. I is the area moment of inertia. L is the length. g is gravity. m is the mass. The free-body diagram of the system is Figure A R is the reaction force. M R.
A floating airport is modeled as a horizontal Kirchhoff’s plate, which is elastically supported at the ends; and is subjected to the impact of aircrafts landing and deceleration over its length. This sets the free-free-free-free plate into high-frequency vibration, causing flexural stress waves to travel over the plate. Esmailzadeh and Ghorashi  analyzed the effects of shear deformation, rotary inertia and the load distribution span on the vibration of the Timoshenko beam subjected to a traveling mass. Later on, the dynamic response of an unsymmetric composite laminated orthotropicbeam subjected to moving loads has been studied by Kadivar and Mohebpour .
Hoppmann WH Jr () Impact of a mass on a damped elastically supported beam. J Appl Mech 15(1)– Google Scholar. Marur PR () Charpy specimen: a simply supported beam or a constrained free–free beam. Eng Fract Mech 61(3)– CrossRef Google Scholar. 1, Auxiliary external mass clasticall y supported on cantilever springs; 2, tube envelope; 3, elastic.:'llly supported element; 4, case; 5, cantilever springs mounting tu be in case. be damped. Under these circumstances, the re sponse of the tube element and the mass, 'm, to motion of the tube base is the same. The mass m.
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The transient force deformation response of a body subjected to impact can be explained accurately using the stress wave propagation theory. As this approach is complicated, a simpler approach utilizing a quasi-static equilibrium condition can be by: In this paper, the dynamic response of a simply supported viscously damped double-beam system under moving harmonic loads is investigated.
The double-beam system consists of two elastic homogeneous isotropic beams, which are identical, parallel, and connected continuously by a layer of elastic springs provided with viscous by: Effect of Train Speed on the Vibration of the Beam-Rail System.
Figure 4 shows the variations of the dynamic deflections of rail, track plate, base plate, and bridge when the train moves across the bridge at the low speeds (i.e. 8 m/s and 32 m/s), medium-high speeds (64 m/s and 80 m/s), and high speeds ( m/s and m/s). In Figure 4, is the dynamic deflection and is the position of Author: Binbin He, Yulin Feng.
Impact of a mass on a damped elastically supported beam. Jan ; ; W H Hoppmann; Hoppmann WH Jr () Impact of a mass on a damped elastically supported beam. But little research has been done on the vibration problem of a rotating damped beam with elastically restrained root because of its complexity.
And no exact solution for the vibration of the dynamic system has been presented. Carlson and Wong obtained an exact solution for the static bending of a rotating uniform Bernoulli–Euler by: of elastically supported beams under moving loads by tuned mass devices', The IES Journal Part A: Civil & Structural Engineering,55 - 67 To link to this article: DOI: / A, ‘Impact of a Mass Striking a Beam‘Impact of a Mass on a Damped Elastically Supported Beam’.
Google Scholar (11) Timoshenko, S., Goodier, J. ‘Theory of Elasticity’, second edition, p. (McGraw-Hill Book Co., New York and London). Google Scholar. By utilizing Green's function method Foda and Abduljabbar  solved the problem of dynamics of a simply supported beam under a moving mass.
Abu-Hilal  considered the forced vibration of a. Consider the two-layer beam of length L = 30 m composed of a concrete deck (upper layer) and two symmetrically arranged steel girders (lower layer), as shown in Fig.
beam is clamped at both ends, and is elastically supported at x = L∕3 by a translational spring with stiffness k w, 1 = 5 10 8 N∕ elastic rotational joint of stiffness k Δ θ, 1 = 1 0 10 N m connects the beam.
Vibration frequencies for a uniform beam with one end spring-hinged and subjected to a translational restraint at the other end. LAURA, M. MAURIZI and J.
POMBO Journal ofSoundand Vibrat A note on the dynamic analysis of an elastically restrained-free beam with a mass at the free end. The response of an elastically supported infinite Timoshenko beam to a moving vibrating mass The Journal of the Acoustical Society of America( The solution is presented within the framework of a beam theory which includes the effects of shear deformation and rotatory inertia.
An example is provided where the displacement is. Hoppmann WH Jr () Impact of a mass on a damped elastically supported beam. J Appl Mech 15(1) Six analytical models for central impact of a simply supported beam. Eqivalent Mass when mass is attached at free end of cantilever beam = [kg] Area Moment of Inertia of the Cantilever Beam = [mm 4 ] Stifness of the Cantilever Beam = [N/m].
1. INTRODUCTION In reference  a component mode analysis was carried out for a linear, damped modal system with a non-linear spring-mass-dry friction damper attached. Although the theory was developed for an arbitrary linear, damped, modal system, specific numerical results were presented for a simply supported beam with viscous damping.
Figure 1 for the undeformed and the deformed (post-buckled) beam shapes. The mass of each link is given by mL/2 and the centroidal mass moment of inertia of each link is given by (mL3/96), where (m) is the mass per unit length.
Figure 1: Simply-supported beam approximated by two rigid links with rotational spring and damper. 6) W. Hoppmann II: Impact of a mass on a damped elastically supported beam.
appl. Mech. 15 () S. /36;ders. Hoppmann II: Impact of a mass on a column. While doing vibration analysis in terms of the dynamic response of a beam, the end conditions, in most of the cases, are assumed to be fixed, simply supported, free or sliding imposing an ideal condition of end support displacement.
But, in real engineering structures, the end supports are non-ideal (for example welded, riveted etc.) and allow certain degree of translational or rotational. Example 1: A structure is idealized as a damped spring mass system with stiffness 10 kN/m; mass 2Mg; and dashpot coefficient 2 kNs/m.
It is subjected to a harmonic force of amplitude N at frequency Hz. Calculate the steady state amplitude of vibration.
Start by calculating the properties of the system. Two types of railway bridges, a simple girder and an elastically supported bridge are considered. Timoshenko beam theory is used for modelling the rail and bridge and two layers of parallel damped springs in conjunction with a layer of mass are used to model the rail-pads, sleepers and ballast.
 W. Hoppmann, “Impact of a Mass on a Damped Elastically Supported Beam”, Journal of Applied Mechanics, Trans. ASME, Vol. 70,P. A theoretical analysis based on the numerical solution of the beam impact integral equation is carried out to determine the impact force and deflection time histories, the strain energy.
The effects of frictional damping on the vibration of an elastically supported beam. APPENDIX A: BEAM DEFLECTION COMPUTATION Once the spring-mass damper deflection is determined, the modal co-ordinates of the beam and hence the deflection at any point along the beam may be determined.Hoppmann WH Jr () Impact of a mass on a damped elastically supported beam.
J Appl Mech 15(1)– The collected papers of Stephen P. Timoshenko. McGraw-Hill Book Company, Inc, New York. Google Scholar; Hertz H () On the contact of elastic solids.
Marur PR () Charpy specimen—a simply supported beam or a constrained. In this formulation, the normal-mode approach is used to reduce the differential equation of a fractionally damped continuous beam into a set of infinite equations, each of which describes the dynamics of a fractionally damped spring-mass-damper system.