Abstract
Nonlocal influences are taken into account when studying the buckling behavior of protein microtubules in the elastic medium. The protein microtubules are modeled using the Winkler model as an orthotropic shell. Combining the two models, a new nonlocal orthotropic Winkler model is created that accounts for nonlocal influences in order to study the buckling of protein microtubules within the elastic medium. The wave propagation approach, a well-known numerical technique, is used to solve the governing equations. The primary goal of the current work is to examine microtubule buckling against dimensionless axial wavelength. This findings and observations supported the conclusions of the earlier investigations.
Address
Muhammad Taj and Manzoor Ahmad: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Muzamal Hussain: Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan
Lahcen Azrar: Department of Applied Mathematics and Informatics, ENSAM, Mohammed V University of Rabat, Morocco
Muhammad Safeer: Department of Mathematics University of Poonch Rawalwkot 12350 Azad Kashmir, Pakistan
Hamdi Ayed: Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Emad Ghandourah: Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Abir Mouldi: Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Abstract
Enzymes are specialized proteins that act as biological catalysts, accelerating chemical reactions essential for the functioning of all living cells. They play a critical role in metabolism, and their activity is regulated by molecules known as activators, which enhance their function, and inhibitors, which reduce it. These regulatory mechanisms ensure that metabolic processes occur efficiently and at the right time. Systems biology applies mathematical modeling to study and simulate these complex biological networks, allowing researchers to better understand and predict the outcomes of various metabolic reactions, providing valuable insights into cellular behavior. So, this work investigates the dynamical properties of a discrete activator-inhibitor system. It proves the existence of an interior equilibrium solution and analyzes its local dynamics. The study explores possible bifurcations, showing that the system undergoes Neimark-Sacker and flip bifurcations. Chaos in the system is also examined. Finally, simulations are provided to validate the theoretical findings.
Key Words
bifurcations; chaos; discrete-time system; numerical simulation; simulation; stability
Address
Abdul Qadeer Khan: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan
Abstract
This study investigates the stability of a doubly-curved electrical shell structure under dynamic impact loads using both theoretical and analytical methods. The curved electrical shell is designed to absorb energy from deformation and is subjected to loads from a spherical impactor with various boundary conditions. The shell's behavior is mathematically modeled using von Kármán shell theory to derive the displacement field, while its electrical characteristics are described by Maxwell's equations. The mechanical model assumes linear elastic behavior, and the impactor's contact interactions are governed by Hertz's contact law. The influence of external loads and boundary conditions on the internal stress distribution of the shell is analyzed using the principle of energy conservation. In addition to the analytical approach, a finite element model is developed using the Abaqus dynamic/explicit package, allowing for a comparison between analytical and numerical results. The findings are presented through a parametric study that examines the effects of geometry, material properties, and boundary and loading conditions. This parametric analysis highlights the optimal conditions for ensuring the stability of the curved electrical shell structure.
Address
Fuxiang Wang:Institute of Physical Education, Weifang University, Weifang 261061, Shandong, China
Shunli Gao:Physical Education Teaching and Research Department of Basic Medical College, Shandong Second Medical University, Weifang 261053, Shandong, China
Mostafa Habibi: Universidad UTE, Facultad de Arquitectura y Urbanismo, Calle Rumipamba S/N y Bourgeois, Quito, 170147, Ecuador/ Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, 600 077, India/ Department of Mechanical Engineering, Faculty of Engineering, Haliç University, 34060, Istanbul, Turkey/ Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam
Zhonghua Luo: Institute Sciences and Design of AL-Kharj, Dubai, United Arab Emirates
Abstract
The shell problem in this work is modeled as a rotating cylindrical shell with three distinct volume fraction rules. There is a connection between polynomial, exponential, and trigonometric fraction laws and the governing equations for shell motion. The fundamental natural frequency is examined for several parameters, including height-radius and length-to-diameter ratios. The resulting backward and forward frequencies rise with rising height-to-radius ratios, whereas frequencies decrease with increasing length-to-radius ratios. Furthermore, as the angular speed increases, the forward and reverse frequencies decrease and increase, respectively. By using MATLAB coding, the eigen solutions of the frequency equation have been found. The findings for the clamped simply supported condition have been taken out of this numerical procedure in order to examine the properties of shell vibration. The generated results provide evidence for the applicability of the current shell model and are also supported by previously published material.
Key Words
clamped- simply supported fraction laws; frequency response; rotating speed
Address
Emad Ghandourah: Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Muzamal Hussain: Department of Mathematics, University of Sahiwal, Sahiwal, 57000, Pakistan
Mohamed A. Khadimallah: Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Hamdi Ayed: Department of Civil Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Monzoor Ahmad: Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Lahcen Azrar:Department of Applied Mathematics and Informatics, ENSAM, Mohammed V University of Rabat, Morocco
Abir Mouldi: Department of Industrial Engineering, College of Engineering, King Khalid University, Abha - 61421, Saudi Arabia
Abstract
The present article aims to carry out a comparative study between various machine learning based algorithms, which can predict the bending and buckling behavior of functionally graded (FG) nanobeams accurately. The algorithm has been developed in the framework of two regression machine learning models namely, Gaussian Process Regression (GPR), and Random Forest (RF). Geometric and material properties are taken as the variables including length-to-thickness ratio, power-law index, and nonlocal parameter. For having random non-biased input dataset, the Sobol sequence has been used. Using these values, maximum deflections and critical buckling loads are obtained. These values along with the corresponding input variables, surrogate models were formulated. It has been observed that the GPR model is able to predict the behavior of FG nanobeams more accurately as compared to the behavior predicted by RF surrogate model even for an unseen dataset.
Address
Aman Garg: State Key Laboratory of Intelligent Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China/ Department of Multidisciplinary Engineering, The NorthCap University, Gurugram, Haryana, India – 122017
Mohamed-Ouejdi 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
Li Li: State Key Laboratory of Intelligent Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
Abdelouahed Tounsi: Department of Civil and Environmental Engineering, King Fahd University of Petroleum &Minerals,
31261 Dhahran, Eastern Province, Saudi Arabia/ Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, 22000 Sidi Bel Abbes, Algeria/ YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
Abstract
Recently, fashion design demanded more comfort and functionality. Addition of nanoparticles into fabrics can be one new method of enhancing comfort with vibration dampening. This paper investigates the influence of the addition of nanoparticles on the vibrational properties of textiles that can be used in fashion. The vibration properties of the nanoparticle-enhanced fabrics are mathematically modeled. Shaking and magnetic stirring with ultrasonic treatments are considered in combination with mechanical mixing before the production of fabric samples in order to overcome the problem of nanoparticle dispersion. Sinusoidal shear deformation theory is used for the structural modeling, whereas the Mori-Tanaka model is used to estimate the effective properties of the nanoparticle-reinforced fabrics with consideration of the agglomeration effect. Energy methods enable the derivation of the motion equations for the calculation of the vibration frequencies of the fabric. This study investigates the effects of nanoparticle volume percentage, their agglomeration, and fabric structure on the characteristics related to vibration damping and comfort. It follows that increased nanoparticle content improves vibration damping, thereby opening possibilities for comfortable and durable garment designs.
Key Words
fabrics; fashion design; model; nanoparticle; vibration
Address
Jing Li and Yufeng Xin: College of Art and Design, Sanming University, Sanming 365004, Fujian, China
T.T. Murmy: Faculty of Mechanical Engineering, Ristab Company, Dubai
Abstract
Biogenic potassium silicate (K2SiO3) NPs were synthesized from the biomasses of walnut shell (w-K2Si), pinewood stem (p-K2SiO3), and sugarcane bagasse (s-K2SiO3) by ambient fiery and KOH-assisted thermal process. The crystallite size (D) of w-K2SiO3, p-K2SiO3, and s-K2SiO3 NPs were determined to be 73 nm, 53 nm and 47 nm using Debye-Scherrer's formula. The varied strain of all samples was observed in the 0.284 to 0.301 range. Microstructure showed the cubical geometry with an irregular grain size of K2SiO3 NPs, while the SAED pattern confirmed the polycrystalline nature. The Eg of w-K2SiO3, p-K2SiO3, and s-K2SiO3 NPs was determined from Tauc's plot to be 3.66 eV, 3.75 eV, and 3.78 eV, which are closely matched to be 3.78 eV, 3.88 eV, and 3.79 eV estimated from the XPS core-level analysis. The antibacterial activity of w-K2SiO3, p-K2SiO3, and s-K2SiO3 NPs was investigated against E. coli and S. aureus bacteria. Compared to K2SiO3 NPs, the s-K2SiO3 were found to be highly toxic against E. coli and S. aureus and completely inhibited the growth of both organisms within 6 h. The findings represent the novel low-cost development of K2SiO3 NPs with potent antibacterial activities.
Key Words
antimicrobial activity; bandgap engineering; microstructural analysis; potassium silicate (K2SiO3) nanoparticles (NPs); residual stress from W-H model
Address
Abhishek Sharma, Anirudh kumar, Vikas Kumar, Beer Pal Singh and Sanjeev Kumar Sharma: Biomaterials and Sensor Laboratory, Department of Physics, Ch. Charan Singh University, Meerut, Uttar Pradesh-250004, India
Garima Sharma: Department of Biomedical Science & Institute of Bioscience and Biotechnology, Kangwon National University, Chuncheon 24341, Republic of Korea
Vini Madathil and DVN Sudheer Pamidimari: Department of Molecular Biology and Genetics, Gujarat Biotechnology University, Gandhinagar, Gujarat- 382355, India
Satendra Pal Singh: Department of Physics, S.S.V. College, (Affl. CCS University, Meerut), Hapur, Uttar Pradesh-245101, India
Ashish Ranjan Sharma: Institute for Skeletal Aging & Orthopedic Surgery, Hallym University, Chuncheon Sacred Heart Hospital, Chuncheon-si 24252, Gangwon-do, Republic of Korea
Abstract
In this paper, we will study the application of coupled annular nanoplates on basketball equipment to enhance energy absorption and vibration control by incorporating a viscoelastic substrate between the two nanoplates and get their dynamic behavior and possible way for performance enhancement of advanced sports material. Higher-order shear deformation theory is used to formulate the mathematical model, while the finite element method (FEM) is employed to estimate vibrational frequencies and energy absorption. Our results highlight how the critical parameters would affect the vibration and energy absorption characteristics of coupled annular nanoplates on basketball equipment. In fact, the findings in this paper have demonstrated the possibilities for nanostructured materials to enhance durability, energy efficiency, and vibration isolation in basketball sports equipment. The use of such advanced materials in conjunction with the theoretical framework given in the work will allow development pathways toward high-performance sporting goods that are optimized for dissipative and impact-resistant energy. This will provide innovations in sports engineering.
Key Words
advanced sports equipment; basketball; energy absorption; nanoplates; vibration control
Address
Cheng Qiu: School of Police Law Enforcement Abilities Training, Peoples Public Security University of China, Beijing,100038, China
Zhiyuan Tan:Faculty of Sport and Physical Education, University of Belgrade, Blagoja Parovića 156,11000 Belgrade, Serbia
Yufei Qi: Department of Physical Education and Research, Central South University, Changsha ,410083, China
M. Kaffash: Department of Civil Engineering, Malaysia University, Malaysia
