A new finite element analysis of free axial vibration of cracked bars

Ranjbaran, Abdolrasoul; Shokrzadeh, Amir R.; Khosravi, S.

doi:10.1002/cnm.1400

Cited by 14 publications

(6 citation statements)

References 7 publications

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“…Analysis of cracked members is continued by the finite element formulation. Ranjbaran et al [19] proposed a new finite element analysis, based on the equivalent mass method, for the free vibration of cracked bars. The equivalent mass method was only applicable to free vibration analysis.…”

Section: List Of Symbolsmentioning

confidence: 99%

State functions: the milestone of fracture

Ranjbaran

2016

Arch Appl Mech

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The fracture phenomenon is defined via the change of state of structure (entity) between the intact and the fractured end states as the function of the state variable. The twin state functions are defined for the transition of unit of the entity between its two end states. The state ratio is defined as the ratio of the two state functions. The property of the cracked structure is defined as the product of the structure property and the state ratio. The work is then used to derive the main parameters of the fracture mechanics. The work is verified via five examples.

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Section: List Of Symbolsmentioning

confidence: 99%

State functions: the milestone of fracture

Ranjbaran

2016

Arch Appl Mech

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“…This piston can be considered as a bar which has an axial vibration, and has been studied by many with FEM. 34,35 With this method, the piston in this system is built up with two cylinders of different diameters. To form the multipoint system, the piston should be meshed as a whole cylinder whose diameter is same as the top part of the piston.…”

Section: Dynamics Simulations For a Flexible Piston In A Hydraulic Systemmentioning

confidence: 99%

Dynamic modeling of flexible multibody system using a meshing method

Zhao

Chu

2013

Proceedings of the Institution of Mechanical Engineers, Part C:

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Multi-rigid-body system dynamics can be used to investigate the dynamics of a mechanical system of rigid bodies while the finite element method is often utilized to model the quasi-static elastic deformations of an elastic structure. However, neither of these two methods can resolve the real dynamics of a mechanical system when both rigid displacements and elastic deformations coexist. Therefore, this article proposes a meshing method to simulate the mechanical system with uniform mass point movements. To split the specified solid structure into a set of regularly distributed dynamic units, one can assume that the mass density of the structure is evenly distributed within the whole concrete volume and the elasticity and damping of the material are isotropic. Then the whole solid structure of each component can be divided into a number of tetrahedrons the vertexes of which are the points with the mass parameters. The original distances between every pair of adjacent points are supposed to be identical, and the stiffness and the damping coefficients are introduced to formulate the internal and external dynamics of the adjacent mass points. To illustrate the correction and effectiveness of the method, the dynamics problems of a number of regular elastic bodies are investigated with large rigid displacements accompanying elastic deformations. Computer simulations demonstrate that this method is especially useful for real mechanical systems where the rigid displacements and elastic deformations coexist.

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“…The current authors research team detected the need for remedy and after extensive research (Ranjbaran et al, 2008;Ranjbaran, 2010;Ranjbaran et al, 2011;Ranjbaran, 2012a-b;2013;Ranjbaran and Rousta, 2013a-b;Ranjbaran et al, 2013a-b;Ranjbaran and Ranjbaran, 2014;Ranjbaran, 2014;2016;Ranjbaran and Ranjbaran, 2016;2017a-c;Hosseini et al, 2018;Amirian and Ranjbaran, 2020;Baharvand and Ranjbaran, 2020a-b;Ranjbaran et al, 2020a-d), in the last two decades, proposed the Change of State Philosophy (CSP) which expressed in the Persian Curves (PC) (Ranjbaran et al, 2020a). The aim of the presented paper is to derive and validate the (PC) and then apply it for analysis of structural glass members as follows.…”

Section: Introductionmentioning

confidence: 98%

Building Design Rule for Glass Structures by Persian Curve

Ranjbaran¹,

Ranjbaran²,

Ranjbaran³

2021

International Journal of Structural Glass and Advanced Material

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Glass is being increasingly used as a structural material. Its favorable aesthetic qualities have made it popular with modern designers. Recently glass is used for major structural elements such as beams and columns in modern and innovative architectural applications. High slenderness ratios and brittle behavior in tension contribute to the complexity of stability and ultimate strength analysis of glass structures. Moreover the available design curves and methods of ultimate strength analysis of glass structure contain epistemic uncertainty, therefore are not reliable. In this study, based on logical reasoning, concise mathematics and reliable data, a reliable method called the change of state philosophy is developed and expressed in the Persian curve. The Persian curve is used for reliable analysis of glass structures. The validity of the work is verified via its sound basic formulation and comparison of the results with those of the others in the literature.

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A new finite element analysis of free axial vibration of cracked bars

Cited by 14 publications

References 7 publications

State functions: the milestone of fracture

State functions: the milestone of fracture

Dynamic modeling of flexible multibody system using a meshing method

Building Design Rule for Glass Structures by Persian Curve

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