Stability Analysis of Frame Having FG Tapered Beam–Column

Rezaiee‐Pajand, Mohammad; Masoodi, Amir R.

doi:10.1007/s13296-018-0133-8

Cited by 21 publications

(5 citation statements)

References 49 publications

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“…Xu et al [15] studied the vibration responses and dynamic characteristics of functionally graded cylinders and imperfect microbeams under dynamic harmonic loads. Rezaiee-Pajand and Masoodi [16,17] examined conical beams and columns with a functional classification of the cross-section, verified the effectiveness of the stiffness matrix, and provided an effective calculation unit for the study of functionally graded material shells. Masoodi and Ghandehari [18] studied the dynamic characteristics of functionally graded single-wall carbon nanocoupled curved beams and analyzed the effects of factors such as curvature and interface stiffness on the vibration characteristics of the system.…”

Section: Introductionmentioning

confidence: 89%

Vibration Characteristics of a Functionally Graded Viscoelastic Fluid-Conveying Pipe with Initial Geometric Defects under Thermal–Magnetic Coupling Fields

Ma,

Wang

2024

Mathematics

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In this study, the Kevin–Voigt viscoelastic constitutive relationship is used to investigate the vibration characteristics and stability of a functionally graded viscoelastic(FGV) fluid-conveying pipe with initial geometric defects under thermal–magnetic coupling fields. First, the nonlinear dimensionless differential equations of motion are derived by applying Timoshenko beam theory. Second, by solving the equilibrium position of the system, the nonlinear term in the differential equations of motion is approximated as the sum of the longitudinal displacement at the current time and longitudinal displacement relative to the position, and the equations are linearized. Third, these equations are discretized using the Galerkin method and are numerically solved under simply supported conditions. Finally, the effects of dimensionless temperature field parameters, dimensionless magnetic field parameters, thermal–magnetic coupling, initial geometric defect types, and the power-law exponent on the complex frequency of the pipe are examined. Results show that increasing the magnetic field intensity enhances the critical velocity of first-order mode instability, whereas a heightened temperature variation reduces the critical velocity of first-order diverge instability. Under thermal–magnetic fields, when the magnetic field intensity and temperature difference are simultaneously increased, their effects on the complex frequency can partially offset each other. Increasing the initial geometric defect amplitude increases the imaginary parts of the complex frequencies; however, for different types of initial geometric defect tubes, it exhibits the most distinct influence only on a certain order.

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Section: Introductionmentioning

confidence: 89%

Vibration Characteristics of a Functionally Graded Viscoelastic Fluid-Conveying Pipe with Initial Geometric Defects under Thermal–Magnetic Coupling Fields

Ma,

Wang

2024

Mathematics

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“…In the present paper, the plate problem under in-plane loading is analyzed in small-displacement theory. An analysis of large displacements in the bending of tapered plate and shells and FGM cylindrical shells where the variability of the material develops toward the thickness as well as in the middle plane of the plate can be found in [49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Functionally Graded Plate Fracture Analysis Using the Field Boundary Element Method

et al. 2021

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This paper describes the Field Boundary Element Method (FBEM) applied to the fracture analysis of a 2D rectangular plate made of Functionally Graded Material (FGM) to calculate Mode I Stress Intensity Factor (SIF). The case study of this Field Boundary Element Method is the transversely isotropic plane plate. Its material presents an exponential variation of the elasticity tensor depending on a scalar function of position, i.e., the elastic tensor results from multiplying a scalar function by a constant taken as a reference. Several examples using a parametric representation of the structural response show the suitability of the method that constitutes a Stress Intensity Factor evaluation of Functionally Graded Materials plane plates even in the case of more complex geometries.

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“…In terms of the force on the steel bent frame column, Ma [2] elaborated the plane bent frame through the design of single-story factory buildings and determined the calculation procedures of the schematic load, the internal force analysis of the column section, and the internal force combination, but the theoretical formula of model simplification was not given. M. Rezaiee-pajand [3] discussed the performance of supporting the frame system under gravity and lateral loads, and explained and calculated the displacement of the frame under transverse load by applying the virtual work method. Their study focused on the analysis of the tapered beam column with a functionally graded section.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Analysis of Steel Structure Bent Frame Column Bearing Transverse Concentrated Force at the Top in Factory Buildings

Wang

Weng

et al. 2020

Metals

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The steel bent frame structure of single-story factory buildings is actually a spatial structure system. Different bent frame columns are connected with the roof of bent frame structure, making the columns work and bearing the load together. In the steel frame of the factory building with bridge cranes below 20 t, variable-section columns with corbels are used to bear the crane load. In this article, the steel bent frame column of single-story factory buildings was taken as the research object. The bent frame column was simplified as a cantilever variable stepped column bearing a transverse concentrated force at the top. After simplifying the model, the theoretical formula of deflection, rotating angle, and bending moment of the compression rod was put forward. Moreover, bending deformation and stability of variable stepped columns were analyzed in order to obtain the theoretical and practical formula, then the ANSYS software was used to simulate the bent column.

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Stability Analysis of Frame Having FG Tapered Beam–Column

Cited by 21 publications

References 49 publications

Vibration Characteristics of a Functionally Graded Viscoelastic Fluid-Conveying Pipe with Initial Geometric Defects under Thermal–Magnetic Coupling Fields

Vibration Characteristics of a Functionally Graded Viscoelastic Fluid-Conveying Pipe with Initial Geometric Defects under Thermal–Magnetic Coupling Fields

Functionally Graded Plate Fracture Analysis Using the Field Boundary Element Method

Nonlinear Analysis of Steel Structure Bent Frame Column Bearing Transverse Concentrated Force at the Top in Factory Buildings

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