Abstract
This paper investigates the nonlinear free vibration behavior of porous functionally graded (PFG) sandwich plates under hygrothermal conditions. The material properties of the PFG plates are assumed to change continuously across the thickness governed by the volume fraction of composition. An enhanced rule of mixtures including the distribution of porosity throughout the cross-section was utilized for material modeling. The foundation medium is modeled as nonlinear, homogeneous, and isotropic, which is then solved by using Galerkin's model. The study employs first-order shear deformation theory (FSDT) in the kinematic relations, and the equations of motion are derived using Hamilton's principle. An analytical solution is developed for the PFG sandwich plates, assuming supported boundary conditions. The study thoroughly examines the fundamental natural frequency of PFG plates, considering the impacts of the hygrothermal environment, porosity volume percentage, and span-to-depth ratio. To validate the analytical results, a numerical analysis using finite element method (FEM) is performed using ANSYS software. A maximum discrepancy of 11% was found between the two approaches.
Address
Zuhair Farhan Abo Alhous: Department of Mechanical Engineering, Faculty of Engineering, Kufa University, Iraq
Muhsin J. Jweeg: College of Technical Engineering, Al-Farahidi University, Iraq
Emad Kadum Njim: Ministry of Industry and Minerals, State Company for Rubber and Tires Industries, Iraq
Ahmed Mouthanna: College of Engineering, University of Anbar, Ramadi, Anbar, Iraq
Mujtaba A. Flayyih: Prosthetics and Orthotics Engineering, College of Engineering, AL-Mustaqbal University, 51001 Hillah, Babil, Iraq
Royal Madan: Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India
Pallavi Khobragade: Department of Civil Engineering, Dev Bhoomi Uttarakhand University, Dehradun, India
Praveen Kumar Rai: Department of Mechanical Engineering, University of Lucknow, Lucknow, Uttar Pradesh, 226007, India
Abstract
The paper studies the axisymmetric frequency response of the hydro-elastic system consisting of an elastic plate, barotropic compressible viscous fluid, and rigid wall under the action on the plate a point-located timeharmonic force. The motion of the plate is described by utilizing the exact equations of linear elastodynamics. The fluid flow is defined by the linearized Navier-Stokes equations for compressible viscous fluids. For the solution to the problem, the Hankel integral transform is employed and the transforms for the sought quantities are found analytically from the solution of the corresponding field equations. The inverse of these transforms is found numerically by employing the corresponding algorithms and PC programs. Numerical results are presented for the frequency response of the normal stress (pressure) on the interface plane between the fluid and plate. In obtaining these results, it is assumed that the plate material is steel or Lucite, however, Glycerin or water is taken as the fluid. Based on these results, the influence of the problem parameters, such as fluid viscosity, fluid depths, and vibration phase on these frequency responses under various plate thicknesses is studied.
Key Words
axisymmetric forced vibration; compressible viscous fluid; fluid depth; frequency response; plate+fluid hydro-elastic system; resonance frequencies
Address
Surkay D. Akbarov: Department of Mechanical Engineering, Faculty of Mechanical Engineering, Yildiz Technical University, Yildiz Campus, 3349, Besiktas, Istanbul, Turkiye; Institute of Mathematics and Mechanics of Science and Education Ministry Republic of Azerbaijan, Baku, Az141, Azerbaijan
Jamila N. Imamaliyeva: Azerbaijan University of Architecture and Construction, Baku, Az141, Azerbaijan
Zafer Kutug: Department of Civil Engineering, Faculty of Civil Engineering, Yildiz Technical University, 34220, Istanbul, Turkiye
Abstract
In this work, the effectiveness of coupling with a bolted rim is assessed using newly developed optimization techniques. This paper examines and contrasts ten contemporary metaheuristic approaches for linking design optimization with fastened rims. Subjective and statistical evaluations are used to assess these algorithms' performance. Additionally, the problem's outcome is verified through the use of ANSYS simulation.
Key Words
ANSYS simulation; coupling with bolted rim; meta-heuristic; non-traditional optimization
Address
Mubina Nancy, S. Elizabeth Amudhini Stephen: Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641114, India
G. Hemalatha: Department of Civil Engineering, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu 641114, India
Abstract
Recently, mixed HO-WN (i.e., High order-Wavenumber) method was introduced for dynamic analysis of concrete gravity dam-reservoir systems. This is formulated by FE-(FE-TE) approach (i.e., Finite Element-(Finite Element-Truncation Element)). In this technique, dam and reservoir are discretized by plane solid and fluid finite elements. Moreover, the mixed HO-WN (i.e., High order-Wavenumber) condition imposed at the reservoir truncation boundary. This task is formulated by employing a truncation element at that boundary. It should be emphasized that three alternatives are discussed for this approach. The first two alternatives result in one additional degree of freedom at each node in comparison with usual modeling in practice which employs Sommerfeld truncation condition. While, the third alternative leads to two additional degrees of freedom. The method in each case is generally derived by combining the High-order and Wavenumber approaches. The formulation is initially reviewed which was originally proposed in a previous study. Thereafter, the response of Pine Flat dam-reservoir system is studied due to horizontal and vertical ground motions for two types of reservoir bottom conditions of full reflective and absorptive. The initial part of study is focused on the time harmonic analysis. In this part, it is possible to compare the transfer functions against corresponding responses obtained by FE-(FE-HE) (i.e., Finite Element-
(Finite Element-Hyper Element)) approach (referred to as exact method). Subsequently, the transient analysis is carried out. In that part, the results in each case are compared against the corresponding results obtained by the high order H-W (i.e., Hagstrom-Warburton) condition applied on the truncation boundary. It is worthwhile to emphasize that results for high order H-W condition (e.g., O5-5) are not sensitive to L/H (i.e., normalized reservoir length) value. Therefore, they can be envisaged as exact results (in numerical sense) in time domain.
Abstract
This study investigates the thermal buckling behavior of novel functionally graded (FG) cylindrical shell, where material properties and thermal expansion coefficients vary continuously across the thickness using two newly introduced cosine functions, FG-A and FG-B. Equilibrium and stability equations for FG cylindrical pipes with simply supported boundary conditions are derived using Donnell's theory. The research examines how the geometric characteristics of cylindrical pipes and the inhomogeneity parameter (gradient index) collectively influence the critical buckling temperature of various functionally graded cylindrical structures. Thermal loads are assumed to vary uniformly, linearly, or nonlinearly across the thickness, with exact and simplified formulations provided for each temperature rise scenario.
Key Words
Donnell's theory; new FG cosine functions; thermal buckling; thermal loads
Address
Abbes Ouadah: Laboratory of Composites Structures and Innovative Materials (LCSIM), Mechanical Engineering Faculty, USTO-MB Oran, P.O. Box 1505 El- M'Naouer, Oran, Algeria
Ahmed Draï: Mechanical Engineering Department, Faculty of Sciences and Technology, Mustapha Stambouli University of Mascara, 29000, Algeria; Laboratory of Applied Biomechanics and Biomaterials (LABAB), ENPO, Oran, 31000, Algeria
Ahmed Amine Daikh: Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria
Noureddine Boualem: Laboratory of Composites Structures and Innovative Materials (LCSIM), Mechanical Engineering Faculty, USTO-MB Oran, P.O. Box 1505 El- M'Naouer, Oran, Algeria
Tarek Merzouki: LISV, University of Versailles Saint-Quentin, 10-12 Avenue de l'Europe, 78140 Vélizy, France
Mohamed Oudjedi Belarbi: Laboratoire de Recherche en Génie Civil, LRGC, Université de Biskra, B.P. 145, R.P. 07000, Biskra, Algeria; Department of Civil Engineering, Lebanese American University, Byblos, Lebanon
Mohammed Sid Ahmed Houari: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P. 29000 Mascara, Algérie
M.A. Eltaher: Faculty of Engineering, Mechanical Engineering Department, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia; Faculty of Engineering, Mechanical Design and Production Department, Zagazig University, P.O. Box 44519, Zagazig, Egypt
