Article
Chemistry, Multidisciplinary
Jung Woo Lee
Summary: This study proposes a new numerical method for the free vibration analysis of elastically restrained tapered Rayleigh beams with concentrated mass and axial force. The method establishes a frequency determinant considering various boundary conditions and employs the transfer matrix method for frequency analysis.
APPLIED SCIENCES-BASEL
(2023)
Article
Mechanics
A. Zemskov, D. Tarlakovskii
Summary: This study investigates the unsteady elastic diffusion vibration problem of an orthotropic Timoshenko beam subjected to a distributed transverse load on an elastic foundation. The Winkler model is used as the elastic foundation model. The formulation of the mathematical problem utilizes the system of Timoshenko beam bending equations considering diffusion. These equations are derived using the d'Alembert variational principle applied to the elastic diffusion continuum model. The resulting model accounts for the relaxation of diffusion fluxes. The solution to the problem is obtained by convolving Green's functions with functions defining unsteady distributed disturbances. The Laplace transform in time and the Fourier series expansion in the longitudinal coordinate are used to find the Green's functions. A calculation example for a beam with a rectangular section is provided, which determines the beam deflections and concentration increments under an impulsively applied distributed transverse load. Finally, the main conclusions regarding the coupling effect of the stress-strain state and mass transfer in the beam are presented.
ARCHIVE OF APPLIED MECHANICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Aicha Remil, Mohamed-Ouejdi Belarbi, Aicha Bessaim, Mohammed Sid Ahmed Houari, Ahmed Bouamoud, Ahmed Amine, Abderrahmane Mouffoki, Abdelouahe Tounsi, Amin Hamdi, Mohamed A. Elatahe
Summary: The main purpose of this current research is to develop an efficient beam theory to investigate the buckling behavior of functionally graded carbon nanotubes reinforced composite beams. The proposed theory eliminates the need for shear correction factors by satisfying the parabolic variation of through-thickness shear stress distribution. The material properties of the composite beam are estimated using the rule of mixture, and the governing equilibrium equations are solved using a new analytical method.
COMPUTERS AND CONCRETE
(2023)
Article
Mathematics
Abubakr E. S. Musa, Madyan A. Al-Shugaa, Amin Al-Fakih
Summary: Despite the popularity of a free beam in the construction industry, existing bending analysis solutions are complex and limited to certain types of loads. This study presents a simple iterative procedure using the Ritz method to analyze the bending of a free beam on a tensionless foundation subjected to a patched load. A numerical example and a parametric study are provided to illustrate the applicability of the proposed procedure.
Article
Chemistry, Physical
Lukasz Domagalski
Summary: This paper discusses the linear natural vibrations analysis of beams with periodic variations in geometric and material properties along the beam axis. Two averaged beam models based on the tolerance modeling approach are presented, with comparisons made between the natural frequencies obtained from classical Euler-Bernoulli and Timoshenko-Ehrenfest beam theories. The study focuses on material and geometric property distribution in periodicity cells, with natural frequencies and mode shapes obtained for a simply supported beam.
Article
Mechanics
Genshu Tong, Zejun Xuan
Summary: This paper revisits the contact behavior and application of a beam (rail) on a halfplane/half-space. It finds that shear deformation and load position significantly affect the reactions and surface settlements. Integral equations and Fourier Transform are used to obtain compact format solutions for deflection and reaction. Simplified equations for equivalent bearing lengths are proposed and nonuniform distribution of reactions is treated by using equivalent uniform width.
Article
Mechanics
S. Ceballes, B. E. Saunders, A. Abdelkefi
Summary: The study focuses on extending the reliable reduced-order models of a carbon nanotube-based mass sensor using Timoshenko beam theory and Eringen's nonlocal theory. The discrepancies and limits of applicability between Timoshenko and Euler-Bernoulli models are deeply explored, showing that the nonlocal Timoshenko-based model is valuable for mass sensing applications, especially for short and stout structures. Researchers can utilize these findings for the design, modeling, and analysis of nanoscale sensors and resonators.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Mechanics
Hadi Babaei, Yaser Kiani, Mohammad Reza Eslami
Summary: The nonlinear response of thick FGM beams under thermal or mechanical load is analyzed, considering the contact with a three-parameter elastic foundation. The equilibrium equations for the clamped beam are obtained using the von Karman assumptions and third-order shear deformation theory. It is shown that the post-buckling path of the heated/compressed FGM beam is unstable when in contact with a sufficiently soft foundation, indicating sensitivity to imperfections.
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES
(2022)
Article
Mechanics
Satyajeet Dash, Sumeet Chakraborty, Tanish Dey, Rajesh Kumar
Summary: This study extensively discusses the buckling and free vibration characteristics of three-phase randomly distributed carbon nanotube reinforced fiber composite beams under compressive loadings and thermal conditions using a semi-analytical approach. The displacement-based governing equations of motion are derived considering higher-order shear deformation theory, and the effective material properties of the composite are determined through different homogenization techniques. The study also considers the effects of temperature-dependent material properties and nanotube agglomeration on the beam behavior.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Nanoscience & Nanotechnology
Mohammad Mehdi Nejadi, Mehdi Mohammadimehr, Mojtaba Mehrabi
Summary: This paper investigates various aspects of composite sandwich structures, including the distribution of fibers, impact of porosity and graphene addition on mechanical properties, as well as the effects of different graphene patterns on the structure.
ADVANCES IN NANO RESEARCH
(2021)
Article
Engineering, Mechanical
S. Stoykov, E. Manoach
Summary: Early detection and localization of damages are crucial for optimal operation and efficient maintenance of structures. This study introduces two new approaches for damage localization of beams, based on comparison of time responses of intact and damaged beams.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2021)
Article
Geosciences, Multidisciplinary
Yangsheng Ye, Shaowei Wei, Degou Cai, Jianmin Yang, Peiyong Wei, Cuihong Yue, Shangrui Wu
Summary: The application of prestress to elastic foundation beams is explored in this article, specifically in the slope reinforcement project using fabricated anchor-cables. New methods for calculating internal force and deformation under prestress force and concentrated force are deduced and verified, showing their feasibility. These methods provide alternatives to the traditional approach and can be used in the design of similar structures.
FRONTIERS IN EARTH SCIENCE
(2023)
Article
Engineering, Civil
Olga Doeva, Pedram Khaneh Masjedi, Paul M. Weaver
Summary: New exact analytical solutions are presented for the static deflection of coupled Timoshenko composite beams resting on two-parameter elastic foundations subject to arbitrary boundary and loading conditions. The influence of foundation coefficients, coupling terms, and aspect ratio on the static deflection of the beams is investigated and discussed.
THIN-WALLED STRUCTURES
(2022)
Article
Mechanics
Quaiyum M. Ansari, Giovanni Zucco, Luan C. Trinh, Paul M. Weaver
Summary: This work aims to develop data-driven empirical expressions to calculate the upper and lower bound values of cylindrical shells under linear compression loads with various boundary conditions together with various levels of bend/twist anisotropy. Results show that the detrimental effect of boundary conditions and inherent bend/twist anisotropy could lead to a 61% reduction in buckling load, providing a need for detailed studies in this area.
COMPOSITE STRUCTURES
(2023)
Article
Engineering, Civil
Iwona Wstawska, Krzysztof Magnucki, Piotr Kedzia
Summary: The main objective of this paper is the stability analysis of an axially compressed three-layered beam on an elastic foundation. The authors propose an analytical model of the beam on the elastic foundation and present a new approach to structures on the elastic foundation by adopting variable properties. The assumption proposed by the authors allows for a continuous description of the interaction of the beam with the foundation, unlike the discrete Winkler model. Critical loads as a function of geometric and mechanical properties are calculated, and original shape functions and deflection functions are proposed. Numerical analysis is also performed, showing good agreement with the analytical results.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Abraham Mensah, Srinivas Sriramula
Summary: This paper proposes a pathway for developing efficient performance functions to evaluate the probability of failure for interacting pipeline corrosion clustering defects using a probabilistic finite element-based reliability method. The framework reduces computational cost and offers informed decision-making on risk and maintenance management.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2024)
Article
Engineering, Multidisciplinary
Baozhu Zhang, Wenchun Jiang, Yun Luo, Wei Peng, Yingjie Qiao
Summary: This paper studies the distribution of residual stress in thick wall girth welds using narrow-gap welding. The study finds that the heat input, wall thickness, radius thickness ratio, and number of welding passes have an effect on residual stress. A model for the distribution of welding residual stress through the wall thickness is proposed, and its results are in good agreement with finite element calculation results.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2024)
Article
Engineering, Multidisciplinary
Stefan Culafic, Darko Bajic, Tasko Maneski
Summary: This paper presents experimental research on a branch model conducted in laboratory conditions. The study verifies the linear relationship between stress and internal pressure in the field of elasticity and reveals the occurrences when stresses exceed the yield strength of the branch material, such as plastic deformations of the branch model. The research also defines the dependence of stress on internal pressure in both the field of elasticity and the zone of residual stresses.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2024)
Article
Engineering, Multidisciplinary
Wenchun Jiang, Wenlu Xie, Xinyue Qi, Yangguang Deng, Yu Wan, Xuefang Xie
Summary: Various types of solid-state phase transformations (SSPT) occur during the SA508 steel welding process, leading to complex microstructure distribution and significant influence on residual stress distribution. To better control microstructure and residual stress, optimization of process parameters related to welding thermal cycles is necessary.
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
(2024)
