Forced responses of cracked cantilever beams subjected to a concentrated moving load

Lin, Hai; Chang, Shun-Chang

doi:10.1016/j.ijmecsci.2006.06.014

Cited by 80 publications

(47 citation statements)

References 24 publications

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“…SMA wires are embedded longitudinally to repair the crack and reinforce beam structure against external loading. Based on Timoshenko beam model [8][9][10], governing equations of composite beam with embedded SMA wires can be defined as follow:…”

Section: Beam's Governing Equationsmentioning

confidence: 99%

“…All mechanical properties were calculated in details in Appendix B. Stress intensity factors of K I5 and K II3 can be calculated by substituting expressions ( (11) and (13)) in (9) and similarly ( (12) and (14)) in (10). Subsequently, strain energy release rate was defined by replacing ( (9) and (10)) in (8).…”

Section: Crack Modellingmentioning

confidence: 99%

“…http They modelled the crack as a local flexibility which was replaced by a rotational and transverse spring pair. Lin and Chang [9] investigated the dynamic response of cracked cantilever beam under moving mass. It is been revealed that by implementing Transfer Matrix Method (TMM) one can obtain the eigensolution of cracked beam explicitly.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibration analysis of self-healing hybrid composite beam under moving mass

Alebrahim

Haris

Mohamed

et al. 2015

Composite Structures

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Section: Beam's Governing Equationsmentioning

confidence: 99%

Section: Crack Modellingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vibration analysis of self-healing hybrid composite beam under moving mass

Alebrahim

Haris

Mohamed

et al. 2015

Composite Structures

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“…Mahmoud and Abou Zaid (2002) have developed 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. Lin and Chang (2006) have developed an analytical method to present the dynamic response of a cracked cantilever beam subject to a concentrated moving load. The cracked beam system has modeled as a two-span beam and each span of the continuous beam is assumed to obey Euler-Bernoulli beam theory.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Elastically Supported Cracked Beam Subjected to a Concentrated Moving Load

Öztürk

Kıral

2016

Lat. Am. j. solids struct.

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This study deals with the dynamic behavior of a cracked beam subjected to a concentrated force traveling at a constant velocity. Dynamic analyses for a hinged-hinged cracked beam resting on elastic supports under the action of a moving load are carried out by the finite element method. For the beam having rectangular cross-section, element formulation for crack element is developed by using the principles of fracture mechanics. In the numerical analysis, Newmark integration method is employed in order to calculate the dynamic response of the beam. The effects of crack depth, crack location, elastic support and load velocity on the dynamic displacements calculated for different locations on the beam are investigated. The results related to the dynamic response of the beam are presented in 3D graphs.

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“…New system with n decoupled Timoshenko beams A closed-form solution to this eigenvalue problem can be obtained by employing transfer matrix methods[21][22][23]. The general solutions of Eqs.…”

mentioning

confidence: 99%

Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving load

2010

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Based on Timoshenko beam theory, the dynamic response of an elastically connected multiplebeam system is investigated. The identical prismatic beams are assumed to be parallel and connected by a finite number of springs. Assuming n parallel Timoshenko beams, the motion of the system is described by a coupled set of 2n partial differential equations. The method involves a change of variables and modal analysis to decouple and to solve the governing differential equations, respectively. A case study is solved in detail to demonstrate the methodology and several plots of the midpoint deflections of beams are given and investigated for different values of moving load velocity and the stiffness of elastic connections. From the numerical results it is observed that the maximum deflection of the multiple Timoshenko beam system is always smaller than one of a single beam.

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Forced responses of cracked cantilever beams subjected to a concentrated moving load

Cited by 80 publications

References 24 publications

Vibration analysis of self-healing hybrid composite beam under moving mass

Vibration analysis of self-healing hybrid composite beam under moving mass

Dynamic Analysis of Elastically Supported Cracked Beam Subjected to a Concentrated Moving Load

Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving load

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