Article
Engineering, Multidisciplinary
Lingling Chen, Yang Liu, Shenjie Zhou, Binglei Wang
Summary: The higher-order isotropic elasticity theory requires only three independent material parameters according to GSGET, which can capture size effects in micro-beam models. Variational formulations of micro-beams including Bernoulli-Euler and Timoshenko beams are deduced by utilizing Hamilton's principle. The effects of normalized maximum deflection, stiffness, and natural frequency are studied, showing the importance of using GSGET to characterize size effects in mechanical properties of micro-structures.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Mechanics
Olga Doeva, Pedram Khaneh Masjedi, Paul M. Weaver
Summary: Beams resting on elastic foundations are widely used in engineering design. This study presents a new mathematical model for predicting the flexural behavior of laminated composite beams on elastic foundations, which is verified numerically for accuracy.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Engineering, Mechanical
Jian Zang, Run-Qing Cao, Ye-Wei Zhang
Summary: This work introduces a novel continuum vibratory absorber that integrates a lever-type nonlinear energy sink with asymmetric elastic boundary to attenuate vibration. The study focuses on the steady-state response of the system, highlighting the repetitive emergence of a closed detached response and the gradual decrease in amplitude after adding the resonance absorber. Additionally, the connection between the existence of the CDR and the primary response is further investigated.
NONLINEAR DYNAMICS
(2021)
Article
Chemistry, Physical
Zepeng Wang, Xiulong Yao, Fangru Hu, Chuanxiang Ma, Xinyan Li, Zhanli Miao, Junping Song, Lianxiang Ma, Wei Li
Summary: This study investigated the effect of different carbon black fillings on the hyper-elastic mechanical behavior of natural rubber. The results showed that increasing the amount of carbon black filling resulted in harder rubber. A correlation between the carbon black filling volume and the parameters of the Yeoh constitutive model was explored. A method for calculating the material parameters of the Yeoh constitutive model was developed, predicting the correlation between the hyper-elastic properties of rubber and the volume fraction of the carbon black filling.
Article
Engineering, Multidisciplinary
Mohammad Malikan, Victor A. Eremeyev
Summary: This study introduces a new approach to address micro-mechanic problems using the modified couple stress theory. The model considers micro-particles' rotations, which are crucial for microstructural materials and small scales. While the framework is suitable for static situations, it is necessary to consider micro-rotations' mass inertias for dynamic investigations. The solution methods are validated using numerical models, highlighting the importance of static and dynamic length scale parameters in studying microstructure vibrations.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Chemistry, Multidisciplinary
Ali Seyfi, Amir Teimouri, Rossana Dimitri, Francesco Tornabene
Summary: This work focuses on analyzing the wave propagation in functionally graded carbon nanotubes-reinforced composite beams. The axial graduation of the reinforcing phase and its effect on the mechanical response of the composite beams are investigated. The theoretical solution of the problem provides insights into the sensitivity of mechanical response to different parameters, which can be used for further computational and experimental studies, as well as design considerations.
APPLIED SCIENCES-BASEL
(2022)
Article
Mechanics
Chengyun Long, Bing Zhao, Jian Chen, Tao Liu, Xulong Peng, Hui Peng, Xinhua Yang
Summary: A new size-dependent thermal buckling model based on modified gradient elasticity is presented in this study. Numerical examples of different supported beams show that the smaller the beam size, the bigger the critical buckling temperature rise, and the internal length scales significantly affect the critical buckling temperature rises. The differences in critical buckling temperature rises caused by choosing different higher-order boundary conditions cannot be ignored.
ARCHIVE OF APPLIED MECHANICS
(2021)
Article
Mathematics
Antonios Charalambopoulos, Theodore Gortsas, Demosthenes Polyzos
Summary: This study provides a general representation of the solution to the simplified elastostatics version of Mindlin's Form II first-strain gradient elastic theory. Through functional theory considerations, a solution representation of the one-intrinsic-parameter strain gradient elastostatic equation is rigorously provided for the first time. The study also addresses contradictions arising from two well-known first-strain gradient elastic models proposed in the literature to describe the strain gradient elastostatic bending behavior of Bernoulli-Euler beams.
Article
Mechanics
Bing Zhao, Lin Liu, Jian Chen, Chengyun Long, Xulong Peng, Huanxin Yi, Moyu Zhao
Summary: A new size-dependent thermoelastic damping model is proposed in this study to investigate the behavior of micro-beams with thermoelastic damping. The results indicate a significant size effect of thermoelastic damping in micro-beams, with the critical thickness of the beam related to the internal length scale. The proposed model is characterized by its clear physical interpretation and simple form, providing theoretical guidance for designing high-quality micro/nano-electromechanical resonators.
ARCHIVE OF APPLIED MECHANICS
(2023)
Article
Mechanics
Shuo Liu, Guodong Fang, Jun Liang, Maoqing Fu, Bing Wang, Xiangqiao Yan
Summary: An element-based peridynamic (EBPD) model is developed for the representation of the Euler-Bernoulli beam, with dynamic and static problems derived using Lagrangian formalism and variation principle. The Newmark and Gauss elimination methods are applied for solving these problems, while also extending the damage criterion to the EBPD beam and discussing different boundary condition schemes. Various benchmark cases are used to validate the proposed EBPD beam model under different loading and boundary conditions.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2021)
Article
Acoustics
Xiang Zhao, Shiyao Meng, Weidong Zhu, Yilin Zhu, Yinghui Li
Summary: This paper aims to derive a closed-form solution for steady-state forced vibration of a double-curved-beam system (DCBS). The classical Euler-Bernoulli beam model is used to establish the vibration equations of the DCBS. The fundamental solution of the vibration equations is obtained using Green's function and Laplace transform methods, which can be applied to any boundary conditions. The numerical results validate the proposed solution by comparing with previous studies and investigate the effects of geometric and physical parameters on vibration responses and the interaction between the elastic layer stiffness and the DCBS.
JOURNAL OF SOUND AND VIBRATION
(2023)
Article
Computer Science, Interdisciplinary Applications
Mahmut Tunahan Ozdemir, Veysel Kobya, Mustafa Ozgur Yayli, Ali Mardani-Aghabaglou
Summary: This study investigated the effect of steel fiber utilization on the dynamic behavior of fiber reinforced self-compacting concrete beam. It was found that steel fiber reinforcement has a noticeable impact on the vibration characteristics of the modelled beam.
COMPUTERS AND CONCRETE
(2021)
Article
Mathematics, Applied
Hua-Lei Zhang
Summary: In this paper, the stability of a one-dimensional wave equation with local degenerate Kelvin-Voigt damping and discontinuous coefficients is studied. The domain of the wave equation is a bounded interval, and the support of the damping coefficient function is a subinterval that excludes the endpoints of the bounded interval. The damping coefficient function behaves like power functions near the endpoints of the subinterval. By employing the frequency domain method and suitable regularity assumptions on the coefficients, it is shown that the energy of the wave equation decays polynomially, with the decay rate depending on the exponents of power functions.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
(2023)
Article
Construction & Building Technology
Linyun Zhou, Zohre Moradi, Haneen M. Al-Tamimi, H. Elhosiny Ali
Summary: This study investigates the dispersion characteristics of wave in sigmoid functionally graded curved beams on an elastic substrate for the first time. The homogenization process is performed using sigmoid function and two power laws. The study explores different materials as curved beam materials and models the elastic substrate based on Winkler-Pasternak foundation. The governing equations of the sigmoid functionally graded curved beams are derived and solved analytically. The obtained results are validated by comparing with other studies, and the influences of various parameters are shown in diagrams.
STEEL AND COMPOSITE STRUCTURES
(2022)
Article
Thermodynamics
Bingdong Gu, Tianhu He, Yongbin Ma
Summary: This article investigates the scale effect of thermoelastic damping (TED) in micro-beam resonators, and the influences of various parameters on TED. A novel theoretical analysis model is proposed, which is significant for designing high-efficiency devices and systems in the micro/nano-meter scale field.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
