Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green's function method

Rezaiee‐Pajand, Mohammad; Rajabzadeh-Safaei, Niloofar; Hozhabrossadati, Seyed Mojtaba

doi:10.1016/j.ijmecsci.2018.04.045

Cited by 21 publications

(4 citation statements)

References 49 publications

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“…Incorporating δ i (r i−1 ) into Equation (21) gives δ i (r) for every slice. Finally, the displacements u i ϕ and u i r and stresses σ i ϕ , σ i r and τ i ϕr are obtained from Equations ( 16) and (20). The present method focuses on arches with simply supported ends.…”

Section: Transfer-matrix Approachmentioning

confidence: 99%

“…Based on the EBT and state-space approach, the thermal vibration of cross-ply laminated arches was studied by Khdeir [19]. According to the EBT and using Green's function method, Rezaiee-Pajand et al [20] studied the deformations of arches under thermomechanical loadings. The results showed that the in-plane and out-ofplane displacements can be induced through the lateral temperature distribution.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Zhang,

Zhao,

Sun

et al. 2023

Buildings

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This work presents analytical solutions for thermoelastic behaviors of multilayer arches with temperature-dependent (TD) thermomechanical properties under thermomechanical loadings. The temperature is varied across the thickness of the arch. Firstly, an arched-slice model is developed, which divides every layer of the arch into numerous hypothetical arched slices with uniform thermomechanical properties. Based on the model, the nonlinear heat conduction equations across the thickness of the arch are solved using the iteration approach, and then the thermoelastic equations obtained from the two-dimensional thermoelasticity theory are solved using the state-space approach and transfer-matrix approach. The present solutions are compared with those obtained using the finite element method and the Euler–Bernoulli theory (EBT). It is found that the error of the EBT increases when the angle of the arch increases or the length-to-thickness ratio decreases. Finally, numerical examples are conducted to analyze the effects of surface temperature and TD thermomechanical properties on the temperature, displacement, and stress distributions of a sandwich arch. The results show that the temperature dependency of thermomechanical properties is a key parameter in predicting the thermoelastic behaviors of the arch in a high-temperature environment.

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Section: Transfer-matrix Approachmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Zhang,

Zhao,

Sun

et al. 2023

Buildings

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show abstract

“…Dowell and McHugh 14 derived the Euler–Lagrange equations for a beam with a large deflection and provided the corresponding boundary conditions. Rezaiee-Pajand et al 15 studied the three-dimensional deformation of curved circular beams under thermal-mechanical loading using the green function method to obtain their exact deformation. Tiar et al 16 used the total Lagrangian approach to analyze the geometric nonlinear behavior of a two-dimensional fiber-reinforced elastic solid beam based on a four-node quadrilateral membrane composite element, then proposed a corresponding large-displacement finite element analysis method.…”

Section: Introductionmentioning

confidence: 99%

Method for determining load magnitude and location from the plastic deformation of fixed beams using a neural network

Yin

Chen

et al. 2021

Science Progress

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Fixed beam structures are widely used in engineering, and a common problem is determining the load conditions of these structures resulting from impact loads. In this study, a method for accurately identifying the location and magnitude of the load causing plastic deformation of a fixed beam using a backpropagation artificial neural network (BP-ANN). First, a load of known location and magnitude is applied to the finite element model of a fixed beam to create plastic deformation, and a polynomial expression is used to fit the resulting deformed shape. A basic data set was established through this method for a series of calculations, and it consists of the location and magnitude of the applied load and polynomial coefficients. Then, a BP-ANN model for expanding the sample data is established and the sample set is expanded to solve the common problem of insufficient samples. Finally, using the extended sample set as training data, the coefficients of the polynomial function describing the plastic deformation of the fixed beam are used as input data, the position and magnitude of the load are used as output data, a BP-ANN prediction model is established. The prediction results are compared with the results of finite element analysis to verify the effectiveness of the method.

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“…Hozhabrossadati et al [24] analyzed the Bernoulli beams under the resonant condition and they developed a Green's function procedure by constructing the proper Green's function and adopting the pertinent boundary conditions. Mohammad et al [25] studied the thermoelastic static behaviors of a curved circular beam through Green's function technique. Li and Yuan [26] applied the quasi-Green's function technique to solve the free vibration problem of thin plates on the Winkler foundation.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Response of Beams on Winkler Foundation Irradiated by Moving Laser Pulses

et al. 2018

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Abstract:In this paper, the exact analytical solutions are developed for the thermodynamic behavior of an Euler-Bernoulli beam resting on an elastic foundation and exposed to a time decaying laser pulse that scans over the beam with a uniform velocity. The governing equations, namely the heat conduction equation and the vibration equation are solved using the Green's function approach. The temporal and special distributions of temperature, deflection, strain, and the energy absorbed by the elastic foundation are calculated. The effects of the laser motion speed, the modulus of elastic foundation reaction, and the laser pulse duration time are studied in detail.

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Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green's function method

Cited by 21 publications

References 49 publications

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Thermoelastic Behaviors of Temperature-Dependent Multilayer Arches under Thermomechanical Loadings

Method for determining load magnitude and location from the plastic deformation of fixed beams using a neural network

Thermodynamic Response of Beams on Winkler Foundation Irradiated by Moving Laser Pulses

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