Dynamic analysis of an inclined beam due to moving loads

Wu, Jia‐Jang

doi:10.1016/j.jsv.2004.12.020

Cited by 68 publications

(41 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To make derivation of the motion's governing equations, it is further assumed that the friction force between beam and the mass is negligible (please see Ref. [20]). In our up-coming analysis, it is to be mentioned that when the mass enters the left end of the beam, zero initial conditions for the beam are assumed, i.e.…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…also the total work done by the inertial force due to the action of the traveling mass and the gravity field is [16,20,28]:…”

Section: Mathematical Modelingmentioning

confidence: 99%

“…Nonlinear dynamical behavior of Timoshenko beams with infinite length under the act of traveling harmonic loads resting on Pasternak viscoelastic foundations are studied in [18,19]. In [20], dynamic responses of an inclined weightless Euler-Bernoulli beam subjected to a moving mass has been investigated using the linear finite element method considering transverse and longitudinal displacements for the beam. The nonlinear vibration of a horizontal pinned-pinned Euler-Bernoulli beam traversed by a moving mass considering the influence of the load inertia and the geometric nonlinearity caused by stretching effect of mid-plane of the beam due to the fixed supports was studied in [21].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Mamandi

Kargarnovin

2011

Shock and Vibration

View full text Add to dashboard Cite

Abstract. In this study, the nonlinear vibrations analysis of an inclined pinned-pinned self-weight Timoshenko beam made of linear, homogenous and isotropic material with a constant cross section and finite length subjected to a traveling mass/force with constant velocity is investigated. The nonlinear coupled partial differential equations of motion for the rotation of warped cross-section, longitudinal and transverse displacements are derived using the Hamilton's principle. These nonlinear coupled PDEs are solved by applying the Galerkin's method to obtain dynamic responses of the beam. The dynamic magnification factor and normalized time histories of mid-point of the beam are obtained for various load velocity ratios and the outcome results have been compared to the results with those obtained from linear solution. The influence of the large deflections caused by a stretching effect due to the beam's fixed ends is captured. It was seen that existence of quadratic-cubic nonlinear terms in the nonlinear governing coupled PDEs of motion causes stiffening (hardening) behavior of the dynamic responses of the self-weight beam under the act of a traveling mass as well as equivalent concentrated moving force. Furthermore, in a case where the object leaves the beam, its planar motion path is derived and the targeting accuracy is investigated and compared with those from the rigid solution assumption.

show abstract

Section: Mathematical Modelingmentioning

confidence: 99%

“…also the total work done by the inertial force due to the action of the traveling mass and the gravity field is [16,20,28]:…”

Section: Mathematical Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Mamandi

Kargarnovin

2011

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…The importance of computerized solution of moving mass problems has increased via the usage of computers, and the study (Bulut and Kelesoglu, 2010) has compared numerical methods for response of beams, and another one (Nikkhoo et al, 2007) has studied the modal control of beams under the effect of a travelling mass. Wu (2005) studied vertical and horizontal displacement of an inclined simply supported beam under moving loads for effect of moving-load speed, moving mass, Coriolis force, centrifugal force, inclined angle of the beam. Omolofe (2013) has presented a procedure involving spectral Galerkin and integral transformation methods for the problem of the dynamic deflections of beam structure resting on bi-parametric elastic subgrade and subjected to travelling loads.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Esen

Koç

2015

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

In this study, the dynamic interaction between a 120 mm smoothbore tank barrel modeled as an Euler-Bernoulli cantilever beam and an accelerating projectile during firing is presented. The interaction was modelled using a new FEM approach that took into account the projectile's inertia, Coriolis, and centripetal forces and the horizontal and inclined positions of the barrel. The mass, exit velocity and acceleration effects of the projectile on the dynamics of the barrel were investigated. The effects of the projectile's inertia, and Coriolis and centripetal forces were evaluated as well. Furthermore, the tip displacements at different firing angles were determined by transferring the mass, stiffness and damping matrices of the barrel with the addition of the instantaneous property matrices of the projectile from a local coordinate to the global Cartesian coordinate with the aid of transformation matrices. Finally, the barrel vibrations caused by the successive firings were evaluated under different firing scenarios. To demonstrate the validity of the current study, comparisons were made with the results of previous studies and a good agreement was achieved. By using the method recommended in this study, it is possible to determine the accurate dynamic behavior of any barrel with sufficient sensitivity, without any costly or time-consuming tests being necessary.

show abstract

“…(Wang & Chou, 1998) conducted nonlinear vibration of Timoshenko beam due to a moving force and the weight of beam. Recently, (Wu, 2005) studied dynamic analysis of an inclined beam due to moving loads.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Ryu¹,

Kong²

2012

Advances on Analysis and Control of Vibrations - Theory and Applications

View full text Add to dashboard Cite

Dynamic analysis of an inclined beam due to moving loads

Cited by 68 publications

References 12 publications

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Nonlinear Dynamic Analysis of an Inclined Timoshenko Beam Subjected to a Moving Mass/Force with Beam’s Weight Included

Dynamic response of a 120 mm smoothbore tank barrel during horizontal and inclined firing positions

Dynamic Responses and Active Vibration Control of Beam Structures Under a Travelling Mass

Contact Info

Product

Resources

About