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CONTENTS
Volume 20, Number 5, May 2026
 


Abstract
We will create a smart controller for educational management systems to optimize their design and stability. This will include inspiration from more advanced structures such as piezoelectric sensor-actuator plate systems. In particular, we will utilize a GNP (graphene nanoplatelet) reinforced core system to achieve high performance, resilient behaviors similar to those found in smart composite materials. To develop a mechanical model of the system, we will employ the Halpin-Tsai model to determine effective material properties and higher order shear deformation theory to properly capture transverse shear effects and improve the fidelity of our model. Next, we will derive the governing equations for the system using Hamilton's principle through virtual displacements based on the Green-Gauss theorem to ensure that we have mathematically solid foundations for our models. Additionally, we will implement a state dependent damping control strategy for increased system stability and response time under different operating conditions; allowing for continued real-time adjustments to system parameters similar to what is seen with piezoelectric sensor-actuator systems' dynamic feedback mechanisms. The Laplace transform is used to study the dynamics of a system and its stability with the time-domain solutions calculated numerically via the modified Dubner and Abate algorithm. When applied, our proposed model achieves increased stability margins, improved convergence rates, and better disturbance resistance than traditional control systems. Our results suggest that bio-inspired smart material concepts would dramatically enhance the adaptability and performance of educational management control systems. As such, this project represents an interdisciplinary effort to link the mechanics of nanocomposites with the design of intelligent control systems, providing a new approach to the development of resilient and adaptive frameworks for managing complex, data-rich educational markets.

Key Words
adaptive educational management; design and stability analysis; nanocomposite core; piezo-electric sensor-actuator plates; smart adaptive control

Address
Daxin Zhang, Yucui Pu, Xiaoyan Liu: 1Chongqing Preschool Education College, Chongqing 404047, China

Mohd Ahmed: Department of Civil Engineering, College of Engineering, King Khalid University, PO Box 394, Abha 61411 Kingdom of Saudi Arabia/ Center for Engineering and Technology Innovations, King Khalid University, Abha 61421, Saudi Arabia


Abstract
The objective of this research is to examine the use of multi-phase nanocomposites as roof covering on a railway station, assessing their performance with respect to energy absorption and dynamic characteristics as roof covering for railway stations. In particular, the focus will be on developing a trilevel configuration of silicon-based solar roof covering materials for railway stations consisting of three layers; a carbon fibre composite, a polymer component and a low carbon (LC) nanotube reinforcement layer. This study will investigate the intended benefits of using advanced materials in developing the roof systems on railway stations in terms of their mechanical and energy harvesting capabilities when subjected to real-life service conditions. The structural response of the railway station roof is predicted from Von Kármán nonlinear geometric relations for large deformation using dynamic loads typically experienced by railway stations from wind and other environmental effects. In this work, a detailed simulation is created to investigate the performance of the containable nano-composite material layered nano-composite material (CM) in rooftop construction in response to the effects of wind induced vibrations and force impacts. The role of LC in enhancing the rigidity, damping, and energy absorption is especially emphasized. Parametric studies are conducted to determine if adding LC to the layer would produce an increase in structural durability and longevity when used in the construction of roof systems within train stations and would decrease the amount of long-term maintenance required because of the increase in structural integrity. This research concluded that LC-reinforced nano-composite solar-roofs (nanocomposite) provided the potential for environmentally friendly and sustainable solutions for rooftops located within future railway stations. In addition, these systems improved performance, resiliency, and efficiency of railway stations functioning in dynamic environmental conditions.

Key Words
energy absorption; finite element formulation; geometric nonlinearity; green railway station roof; low-carbon nanotubes

Address
Wenfeng Cai: Department of Station Building Engineering Command, China Railway Guangzhou Group Co., Ltd. No. 151 Zhongshan 1st Road, Ltd Yuexiu District, Guangzhou, China


Abstract
Advancements in nanotechnology have created opportunities to improve both athletic performance and athlete health through the construction of smart materials using enhanced structural design. The present research describes a new method of assisting in the development of athlete health by combining nanocomposite reinforced shoe soles to improve dynamic stability as well as provide transient load resistance to the sole structure. The structure of the shoe sole is modelled as a doubly-curved panel with two radius of curvature parameters, related to a tunnel shape, to replicate the complex geometry of footwear and the interaction with the ground. Graphene oxide powder (GOP) is used as a nanoscaled reinforcement; the homogenized mechanical properties are obtained using the extended Halpin - Tsai method. The equations of motion are derived using first order shear deformation theory (FSDT), while Hamilton's principle produces five coupled partial differential equations representing the vibratory response of the panel. In order to meet simply supported boundary conditions, the displacement fields are expanded using double Fourier trigonometric series according to Navier's solution method. This system provides the dynamic response of the GOP shaped, reinforced soles of shoes when subjected to an active (e.g., impact) force, such as with ground reaction forces during sports activity. The next step in this process will be to apply a Laplace Transform method to solve the equations for the temporal evolution of the materials' displacement and stress. We will use the modified Dubner and Abate Formulation to take the inverse Laplace Transform for the temporal evolution of the materials' displacements and stress. This multi-scale, nano-enabled framework provides a methodology and quantitative measures for optimizing shoe sole design to reduce excessive movement of the foot, decrease the risk of ankle injury, and improve stability in athletes. The data support the potential of nanocomposite designs coupled with advanced continuum mechanics to link advances in nano research to future commercial wearable technology platforms for the improvement of sports health.

Key Words
dynamic stability; laplace transform; nanocomposite reinforcement; shoe soles; sport player health

Address
Xiaomei Niu, Shouhan Li: Department of Physical Education, Lanzhou University, Lanzhou 730000, China

Abstract
The integration of acoustics, nanotechnology, and materials chemistry has led to new ways to produce multifunctional/ intelligent systems over the past decade. In this research project, a new type of nanocomposite based on Titanium carbide (Ti3C2Tx) (MXene) and Polydimethylsiloxane (PDMS) was created and analyzed for acoustic purposes and as a smart musical instrument. MXene nanosheets were produced by a mild etch process (MILD) and mixed with a polymeric PDMS matrix via a solution-mix method. The results showed that adding MXene significantly increased the nanocomposite's mechanical, electrical, and acoustic performance. The Young's modulus values for PDMS alone and for PDMS with 5 wt% MXene were 1.2 MPa and 5.2 MPa, respectively. The electrical conductivity increased from approximately 10-12 S/m to 55 S/m. At a frequency of 1000 Hz, the sound absorption coefficient of the nanocomposite increased from 0.18 to 0.72, and the resonance frequency decreased from 820 Hz to 640 Hz, indicating increased internal damping. For a practical application, the nanocomposite membrane sample increased sound intensity levels from 62 dB to 79 dB and significantly broadened the device's frequency response. Clearly, the developed material functions as both a passive mechanical structure and a tunable active acoustic medium. Finally, this study provides a material-based approach for the design of smart musical instruments, in which the nanoscale structure of the material plays a decisive role in controlling and producing sound.

Key Words
composite structures; material sciences; musical instruments; acoustics; nanostructured; nano-engineered materials; soft materials

Address
Xiaoguang Zhou: Music School, Hubei Engineering University, Xiaogan 432000, Hubei, China

Chengrui Wu: Music Education, Herzen State Pedagogical University of Russia, 48 Moyka River Embankment, Saint Petersburg, 191186, Russian Federation

Mostafa Habibi: Department of Mechanical Engineering, Faculty of Engineering, Haliç University, Istanbul, Turkey/ Department of Biomaterials, Saveetha Dental College and Hospital, Saveetha Institute of Medical and Technical Sciences, Chennai, India


Abstract
Percutaneous kyphoplasty (PKP) is a popular procedure in treatment of vertebral compression fractures in the elderly, but existing bone cements are prone to poor mechanical integration, poor postural restoration, and cement leakage or poor load transfer. This paper presents a machine learning-optimized nanocomposite bone cement intended to increase biomechanical performance and achieve better postural reduction outcomes in the elderly PKP surgery. The proposed system should enhance compressive strength, modulation of elasticity, and restoration of vertebral height by incorporating nanoscale reinforcement agents into polymethyl methacrylate (PMMA)-based cement and modulating the composition parameters with the help of data-driven learning algorithms. The model takes advantage of predictive learning to determine the best nanofiller concentration, dispersion properties of the particles, and curing dynamics. The findings demonstrate that the optimized nanocomposite formulation has the potential of significantly improving structural stability and minimizing the progression of kyphotic deformity in the case of conventional cement systems. The study shows how nanomaterials engineering with machine learning can be used to improve the outcomes of minimally invasive spinal surgery.

Key Words
elderly spine surgery; machine learning optimization; nanocomposite bone cement; percutaneous kyphoplasty; vertebral compression fracture

Address
Zhou Xin: Orthopedics Department, Xishan People's Hospital of Wuxi City (Wuxi Branch of Zhongda Hospital Affiliated to Southeast University), 214105, China

Wang Na: Chongging Materials Research Institute Co., Ltd, China

Abstract
This research examines the use of novel nanomaterials to improve the strength and quality of geopolymer concrete. Nano silica is the most commonly used nanoparticle and it increases concrete strength. Nano-titanium dioxide (TiO2) improves the mechanical properties and it is used to reduce air pollution and self-cleansing the atmosphere. Nano silica and nano-titanium dioxide are replaced by 1% of the total weight of fly ash and paver blocks are cast for M40 grade concrete with different fly ash replacement and nano silica combinations (0.25% TiO2 + 0.75 % SiO2), (0.50% TiO2 + 0.50% SiO2), (0.75% TiO2 + 0.25% SiO2). These paver blocks increase the compressive strength with the increase in age and reduces the various environmental issues. Microstructural analysis shows the interaction between nanoparticles and geopolymer concrete reveals a higher filling effect. The air quality of the paver block has been monitored using an IoT device designed for this application. It is found that the air pollutants are reduced up to 30 percent at the center of the paver block. The combination of 0.75% nano-silica and 0.25% nano-titanium dioxide was optimal. It can be used to achieve higher compressive strength and it purifies the atmospheric air, reducing harmful air pollutants and enhancing environmental protection.

Key Words
air quality; geopolymer concrete; nano silica; nano titanium dioxide; paver block

Address
Pachaivannan Partheeban, Breetha Yesudhas Jayakumari, Madhavan S.: Department of Civil Engineering, Chennai Institute of Technology, Kundrathur, Chennai – 600 069, India

Chella Gifta Christopher: Department of Civil Engineering, National Engineering College, Kovilpatti, India

Andiappan Kavitha: Department of Chemistry, Chennai Institute of Technology, Kundrathur, Chennai – 600 069, India

Abstract
While prior research has explored the dynamic behavior of conical shells under moving loads, the dynamic response of graphene platelet-reinforced metal foam (GPLRMF) conical shells with spinning motion remains uninvestigated. This study establishes a dynamic model for such GPLRMF conical shells under moving loads to analyze their response characteristics. The first-order shear deformation theory (FSDT) is integrated with Hamilton's principle to formulate the governing equations. The motion equations are discretized using the Galerkin method under simply supported boundary conditions, resulting in a system of ordinary differential equations. The mechanical model's validity is confirmed through two comparative examples. Further, convergence analysis is performed for conical shells with varying semi-vertex angles to validate the method's accuracy. Finally, parametric analysis of the dynamic response is conducted using the Runge-Kutta method, with results including the time history of midpoint deflection and the velocity history of maximum midpoint deflection. It can be found that, higher rotational speeds significantly reduce deflection due to centrifugal forces counteracting deformation, the GPL-A/Foam-I shell exhibits minimal central deflection, benefiting from higher GPL concentration and lower porosity, boosting stiffness, and the forced vibration increases deflection with larger semi-vertex angles, as smaller angles (closer to cylindrical geometry) enhance load-bearing capacity.

Key Words
conical shell; dynamic response; moving load; spinning motion; thermal environment

Address
Wu-bin Shan, Qiong Shi, Nan-nan Zhang: Hunan Electrical College of Technology, Xiangtan, 411101, China

Huan Li: Changsha Environmental Protection College, Changsha, 410004, China

Abstract
This research investigates how nanocomposites can help improve the dynamic stability of button designs within the Mazu clothing industry using a functionally graded graphite nanoplatelet-reinforced (FG-GPLR) material. An eccentric annular plate model is used to study the dynamic response of buttons. Buttons are critical components of the overall physical strength and functional integrity of Mazu clothing, and a reinforced approach using graphene nanocomposites will add to the strength of the button via improved mechanical properties (tensile and impact resistance), providing long-lasting functionality under dynamic load conditions. A modified form of the Halpin-Tsai micromechanics model has been employed to predict the behavior of the material, taking into account the non-linear distribution of graphene platelets within the composite matrix, and the refined shear deformation theory (RSDT) has been utilized to analyze the deformation of the plate subject to dynamic loading. Subsequently, Hamilton's principle was used to derive the equations of motion for the governing equations and to create a numerical solution for the design of the buttons; the Gauss–Lobatto–Chebyshev grid generation method has been used to define the numerical region for this study, and the transformed differential quadrature method (TDQM) has been used to yield accurate numerical solutions to aid the design of dynamic stability for the buttons. The findings indicate that there has been a considerable increase in the strength and stability of buttons, thereby supporting the engineering potential for nanocomposite materials to aid the Mazu design of clothing with both functionality and visual aesthetic appeal.

Key Words
dynamic stability; Hamilton's principle; Mazu clothing design; nanocomposites reinforcement; transformed differential quadrature method

Address
Nianyi Cheng, Haotian Lu: Veritas Collegiate Academy, Fairfax, VA 22031, United States

Yijia Huang: Shanghai United International School, Wanyuan US High School, Shanghai 201103, China

Kele Zhang: Shanghai New Epoch Bilingual School, Shanghai 200126, China

Wei Miao: Beijing Laboratory of National Economic Security Early-warning Engineering, Beijing Jiaotong University, Beijing 100044, China

Ao Chen: Baise University, Baise, Guangxi 533000, China


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