Finite element analysis of elastic beams subjected to moving dynamic loads

Lin, Yih‐Hwang; Trethewey, Martin W.

doi:10.1016/0022-460x(90)90860-3

Cited by 215 publications

(114 citation statements)

References 11 publications

Supporting

Mentioning

109

Contrasting

Unclassified

Order By: Relevance

“…Results of a similar numerical and analytical analysis by Lin 13 and Warburton 28 respectively along with the present study are summarized in Table 1. It was observed that there was a good agreement between them.…”

Section: Simply Supported Beam Subjected To a Moving Concentrated Forcementioning

confidence: 64%

“…The finite element method was first used by Cook and Fleming. 10, 11 Filho 12 surveyed the application of the finite element method as a simply supported beam subjected to a constant-velocity two degrees of freedom system with various mass ratios. Lin and Trethewey 13 analyzed the dynamics of an elastic beam that was subjected to dynamic loads induced by the arbitrary movement of a springmass-damper system, which was based on a finite element formulation and solved it with a Runge-Kutta integration scheme. The analysis of a beam with a non-uniform cross-section was completed by Gutierrez and Laura.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vibration Interaction Analysis of Non-uniform Cross-Section Beam Structure under a Moving Vehicle

Asgari¹

2016

IJAV

View full text Add to dashboard Cite

One of an engineer's concern when designing bridges and structures under a moving load is the uniformity of stress distribution. The dynamic behavior of a vehicle on a flexible support is also of great importance. In this paper, an analysis of a variable cross-section beam subjected to a moving load (such as a concentrated mass), a simple quarter car (SQC) planar model, and a two-axle dynamic system with four degrees of freedom (4DOF) is carried out. The finite element method with cubic interpolation functions is used to model the structure based on the Euler-Bernoulli beam and a direct integration method is implemented to solve time dependent equations implicitly. The effects of variation of a cross-section and moving load parameters on the deflection, natural frequencies, and longitudinal stresses of the beam are investigated. The interaction between vehicle body vibration and the support structure is also considered. The obtained results indicate that using a beam of parabolically varying thickness with a constant weight can decrease the maximum deflection and stresses along the beam while increasing the natural frequencies of the beam. The effect of moving mass inertia at a high velocity of a moving vehicle is also investigated and the findings indicate that the effect of inertia is significant at high velocities.

show abstract

Section: Simply Supported Beam Subjected To a Moving Concentrated Forcementioning

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Vibration Interaction Analysis of Non-uniform Cross-Section Beam Structure under a Moving Vehicle

Asgari¹

2016

IJAV

View full text Add to dashboard Cite

show abstract

“…2 shows a uniform beam-like structure divided into Q elements with R cracks located in R different elements. A brief description for deriving the element stiffness matrix of an open cracked element is presented here, while more details can be obtained from previous works [13]. Neglecting shear action, the strain energy of an element without a crack can be written as…”

Section: Dynamics Of a Beam-like Structurementioning

confidence: 99%

“…Lin and Trethewey [13], presented a finite element analysis of elastic beams subjected to moving dynamic loads. Mahmoud and Abou Zaid [14] proposed an iterative modal analysis approach to determine the effect of transverse cracks on the dynamic behavior of simply supported undamped Bernoulli-Euler beams subject to a moving mass.…”

Section: Introductionmentioning

confidence: 99%

“…The interaction forces acting on the beam at contact points denoted by f 1 and f 2 ; g is gravitational acceleration; N T is the transposition of the shape functions at the position x of the interaction force; d is the nodal displacement of the beam. From the nodal displacement d and the shape functions N, the displacement of the beam u at the arbitrary position x can be interpolated as [13] …”

Section: Dynamics Of a Beam-like Structurementioning

confidence: 99%

See 1 more Smart Citation

Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Nguyen

2013

Vietnam J. Mech.

View full text Add to dashboard Cite

Abstract. In this paper a wavelet spectrum technique for monitoring the breathing crack phenomenon of a beam-like bridge subjected to moving vehicle is presented. The stiffness of element with a breathing crack is modeled as a time dependent stiffness matrix using the finite element method. The stiffness matrix of the structure at each moment depends on the curvature of the structure at the crack position. The breathing crack phenomenon can be detected by analysing the instantaneous frequency (IF) of the system using the wavelet spectrum. When the crack depth is large, the crack area might be determined by the significant peak in the IF. The simulation results show that when the crack "breaths" the amplitude of the vibration obtained from the vehicle is smaller than in the case of an open crack. This is a warning when using the amplitude of the dynamic response to estimate the crack depth when there is a breathing crack in the structure. Therefore, it is important to distinguish the open crack and breathing crack to obtain a more accurate estimation of the crack depth. The results showed that crack with a depth as small as 10% of the beam height can be detected by the method. The proposed method can be applied with a noise level up to 10%.

show abstract

Development of an explicit time integration algorithm based on optimal integration parameter updating

Fu,

Li,

2023

Earthq Engng Struct Dyn

View full text Add to dashboard Cite

Integration algorithm is an important mean to solve the discrete time equations of structural dynamics in earthquake engineering. In this paper, a new model‐based explicit integration algorithm, featured by optimization‐based integration parameter updating, is developed for a more accurate and efficient solution of structural dynamic problems. The new integration algorithm is designed to yield minimum error and controllable numerical dispersion under the premise of stability by defining objective functions and constraints. Numerical properties of the new integration algorithm are investigated in details using the amplification matrix method for a linear elastic single degree‐of‐freedom system. Meanwhile, representative numerical examples and complex structure examples are analyzed and compared with other representative algorithms. As a result, the proposed algorithm yields comparable numerical characteristics with other methods, but exhibits pronounced superiority in controllable algorithmic dissipation, higher precision, and better efficiency. Therefore, the new integration algorithm possesses extensive application prospect in solving complicated linear and nonlinear structural dynamic problems.

show abstract

Finite element analysis of elastic beams subjected to moving dynamic loads

Cited by 215 publications

References 11 publications

Vibration Interaction Analysis of Non-uniform Cross-Section Beam Structure under a Moving Vehicle

Vibration Interaction Analysis of Non-uniform Cross-Section Beam Structure under a Moving Vehicle

Monitoring breathing cracks of a beam-like bridge subjected to moving vehicle using wavelet spectrum

Development of an explicit time integration algorithm based on optimal integration parameter updating

Contact Info

Product

Resources

About