Abstract
In this work, a general electroelastic solution method is developed for size-dependent electric potential, deformation,
strain and stress analysis of a piezoelectric double curved nanoshell using a shear deformable model and nonlocal elasticity
theory for a Levy-type boundary condition through Eigenvalue- Eigenvector approach. The partial differential equations derived
using principle of virtual work are reduced to ordinary differential equations after applying the Levy-type boundary condition.
The general solution is derived using Eigenvalue-Eigenvector approach with applying the clamped-clamped boundary
conditions. Accuracy of the proposed solution is justified through comparison with results of previous papers. The electroelastic
deformation, strain and stress are presented in terms of scale parameter and initial voltage. The main novelty of the present paper
is application of a more general solution method for investigating effect of various boundary conditions on the electro-elastic
responses of the shell. Furthermore, an investigation on the effect of scale parameter associated with the Eringen nonlocal
elasticity theory is studied on the deformation, strain and stress results.
Key Words
double curved piezoelectric nanoshell; eigenvalue-eigenvector approach; levy type boundary condition;
shear deformable model; size-dependent electroelastic behavior
Address
Di Zhu:Sports College, Shinhan University, Gyeonggi-do 11626, South Korea
Andong Zhang:Faculty of Education, Universitiy of Malaya, Kuala Lumpur 50603, Wilayah Persekutuan Kuala Lumpur, Malaysia
Mostafa Habibi:1)Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences,
Chennai 600 077, India
2)Universidad UTE, Facultad de Arquitectura y Urbanismo, Calle Rumipamba S/N y Bourgeois, Quito 170147, Ecuador
3)Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
Mohammad Arefi:Department of Solid Mechanic, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
Abstract
The strains and kinetic energies of a vibrating cylindrical shell are obtained in an integral form to describe the
current shell problem. Three unknown displacement functions are used to generate three differential equations. The shell
frequency equation is obtained using the Galerkin method. The MATLAB program are used to solve the frequency equation for
the vibration of cylindrical shell. In this case, it is assumed that the cylindrical shell is made of material that works well. These
tools include parts made of ceramics and metals. For this purpose, functionally graded items are selected. To exchange elements
in the shell, the composition of material is controlled by a power law. The frequency coupling (Hz) vary as a function of volume
fraction index, length-to-radius ratio, and height-to-radius ratio. The metal-ceramic material captures the frequency of the wave
numbers using a limited range of parameters. It can be seen that the frequencies of clamped-free is less than the clamped
clamped. As the power law exponent increases, the frequency increases. The present finding is supported by previous research.
Key Words
clamped-clamped; cylindrical shell; frequency; kinetic energy; MATLAB; PDE
Address
Khaled Mohamed KhedherLDepartment of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Muzamal Hussain:Department of Mathematics, University of Sahiwal, 57000, Sahiwal, Pakistan
Abdelouahed Tounsi:1)YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
2)Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals,
31261 Dhahran, Eastern Province, Saudi Arabia
Abstract
By employing the Generalized Differential Quadrature (GDQ) technique alongside adaptive modeling through
Artificial Neural Networks (ANN), the intrinsic vibrational properties of annular sandwich plates resting on an elastic foundation
have been comprehensively examined within a thermal context. The sandwich structure features a core composed of graphene
platelets, enveloped by two functionally graded (FG) layers. The Halpin-Tsai micromechanical model was utilized to ascertain
the material properties of the composite structure. Furthermore, the material characteristics of the two FGM face sheets exhibit a
continuous variation across the thickness, conforming to a power-law distribution. The governing partial differential equations
and boundary conditions of the plate are formulated using the third-order shear deformation theory (TSDT) in accordance with
Hamilton's principle. These equations are discretized in the spatial domain via the GDQ method, enabling the calculation of the
natural frequencies of the plates. The precision of the numerical approach is validated by juxtaposing the results with existing
literature. Additionally, an adaptive ANN is employed to forecast the frequencies of the sandwich annular plates. This
methodology involves training a Neural Network (NN) with a dataset of frequency solutions derived from the GDQ method.
The Levenberg-Marquardt backpropagation algorithm is utilized for the training process. Subsequently, the ANN model is
refined for accurate predictions in novel scenarios. The findings indicate that both the GDQ method and the adaptive ANN can
reliably predict the frequencies of the sandwich structure featuring a graphene platelet-reinforced core. The study explores the
impact of various factors, including the FG power index, volume fraction of graphene platelets, the presence of an elastic
foundation, and temperature variations on the natural vibrational behavior of annular sandwich plates supported on an elastic
foundation. The ANN model proves to be highly effective for predicting the natural frequency of the sandwich disk, significantly
reducing computational time and costs. It has been demonstrated that the proposed ANN model can accurately forecast natural
frequencies without necessitating the resolution of any differential equations or engaging in time-consuming other numerical
methods or procedures.
Key Words
complex networks; mathematical simulation; mechanical behavior; nanotechnology
Address
A. Liao:Department of Fine Arts and Design, Leshan Normal University, Leshan, Sichuan, 614000, China
K.F. Fawy:Department of Chemistry, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
H. Mohamed:College of Engineering, Applied Science University (ASU), Kingdom of Bahrain
M. Ahsan:Department of Measurements and Control Systems, Silesian University of Technology, Gliwice, 44-100, Poland
B.S. Abdullaeva:Department of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs,
Tashkent State Pedagogical University, Tashkent, Uzbekistan
D.M. Tasan Cruz:Escuela Tecnica Superior De Edificacion, Universidad Politecnica De Madrid, Spain
M. Kamal:Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Dammam, 32256, Saudi Arabia
Abstract
The horizontal bar is a staple of men's gymnastics which allows athletes to perform spectacular routines such as
swings, releases, and complex dismounts. This bar must endure significant vibrations and stress when the gymnast stands about
3 meters above the ground. This study proposes replacing traditional horizontal bars with lightweight and porous metal foam
cylinders that are able to handle mechanical and thermal challenges. Three porosity patterns namely Uniform Porosity Pattern
(UPP), Symmetric PP (SPP), and asymmetric (APP) are explored here to examine their effect on the above-mentioned metal
foam. Also, the behavior of these bars under various thermal and material conditions is studied through the first-order shear
deformation theory and Hamilton's principle. The results indicate how porosity, thickness, and thermal condition would
influence the bar's wave frequency and velocity. For instance, the findings show that higher temperatures, radius to thickness
ratio and porosity would decrease wave frequencies. Moreover, wave number has positive effect on values of wave frequency
and phase velocity. Additionally, these outcomes prove the potential of metal foams in more efficient designs in sports
equipment.
Key Words
different patterns of porosity distribution; first-order shear deformation theory; metal foam circular
cylindrical shell; wave propagation analysis
Address
Zhang YaJie:Graduate School of Shandong Sport University, 250102, China
Wang Meng:Shandong Xiandai University, 250001, China
Song Zhiqiang:College of Physical Education, Shandong Sport University, 276826, China
M Habibi:1)Shahid Beheshti University, Universidad UTE, Facultad de Arquitectura y Urbanismo,
Calle Rumipamba S/N y Bourgeois, Quito 170147, Ecuador
2)Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences,
Chennai 600 077, India
3)Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
Ameni Brahmia:Department of Chemistry, College of Science, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi Arabia
Ibrahim Albaijan:Mechanical Engineering Department, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University,
Al Kharj 16273, Saudi Arabia
Abstract
Cold-formed steel (CFS) walls with infilled material have become more and more popular due to their improvement
in strength and stiffness of the walls. Previous studies have proved the structural advantage of gypsum-filled CFS shear walls.
However, when applied in structural systems, there are lack of guidelines in seismic design for the novel CFS shear walls. In this
paper, on basis of previous gypsum-filled CFS shear wall tests, the simplified model based on equivalent line elements was put
forward and verified. The results indicate the proposed simplified model can effectively simulate the hysteretic behavior of the
walls, which can be applied to analyses of structural systems. And then the reduction response factor R was developed on basis
of tests and Newmark method, which played an important role on seismic design. Based on proposed reduction response factor
R and simplified model, the archetype structures were designed and their 3D models were built. And then a series of pushover
analyses and incremental dynamic analyses were conducted to evaluate the collapse performance of the structures. The results
indicate that reduction response factor R of 4.6 for the gypsum-filled CFS shear walls can be employed in seismic design.
Abstract
Composite girders with corrugated steel webs (CSWs) represent a highly promising structure type worldwide. This
paper proposed a novel finite element (FE) model named the spatial grillage model (SGM) to simulate and analyze composite
girders with CSWs, which balances simplicity and accuracy. Firstly, the mechanical behavior and orthogonal stiffness of CSWs
were examined, followed by the simulation methodology by the cruciform grids. Subsequently, the spatial grillage model
(SGM) was established, wherein concrete flanges were modeled as conventional individual girders or planar grillages according
to their widths and then connected to the cruciform grids of CSWs by rigid arms. The feasibility of the proposed model was
demonstrated by a thorough comparison with ANSYS solid/shell models. The results show that the proposed model achieves
high accuracy in static, modal, and global buckling analyses with a greatly reduced number of elements. Regarding the buckling
at the component level, particularly concerning the local buckling of CSWs, the proposed model demonstrates conservative
predictions for the buckling load factor, necessitating the integration of critical shear stress criteria to achieve more precise
control. In the end, the engineering application prospects were discussed and conclusions were drawn.
Address
Yu Zhang:1)School of Civil Engineering, Shandong University, 17923 Jingshi Rd., Jinan 250061, China
2)State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology,2 Linggong Rd., Dalian 116024, China
Yibo Wang:School of Civil Engineering, Shandong University, 17923 Jingshi Rd., Jinan 250061, China
Li Tian:School of Civil Engineering, Chongqing University, 83 Shabei Street, Chongqing 400045, China
Yujie Zeng:School of Civil Engineering, Chongqing University, 83 Shabei Street, Chongqing 400045, China
