Volume 17, no. 1Pages 97 - 105

Investigation of the Transient Responses of a Beam on an Elastic Polymeric Foundation

A.D. Kashcheeva, A.A. Zamyshlyaeva
The negative impact of vibrations on various devices and mechanisms can be significant, so it is important to take this factor into account when designing, operating and maintaining various equipment and engineering systems. Various methods and technologies can be used to protect against the negative effects of vibrations. Special damping materials are often used. This research paper is devoted to the analysis of the effectiveness of vibration reduction taking into account the physical parameters of elastic polymeric materials. To conduct the study, a mathematical model describing motion of the beam resting on an elastic polymeric foundation is constructed. The model is based on a system of nonlinear differential equations. An algorithm was developed and applied for the numerical solution of this system of equations. Numerical experiments were carried out for the study of the system reaction to different cases of accelerations. As a result, the deflection structure for materials with different physical characteristics were obtained. These results can serve as a starting point for a deeper study of materials and creation of more complex structures.
Full text
transient responses; elastic polymeric foundation; nonlinear differential equation; Galerkin method.
1. Savinov O.A. Sovremennye konstruktsii fundamentov pod mashiny i ikh raschet [Modern Designs of Foundations for Machines and Their Calculation]. Leningrad, Stroiizdat Publishing House, 1979. (in Russian)
2. Kudryavtsev I.A. Vliyanie vibratsiy na osnovaniya sooruzheniy [Impact of Vibration on Foundations Structures]. Gomel, BelGUT, 1999. (in Russian)
3. Borisov E.K., Alimov S.G., Usov A.G., Lysak L.G., Krylova T.V., Stepanova E.A. Eksperimental'naya dinamika sooruzheniy. Monitoring transportnoy vibratsii [Experimental Dynamics of Structures. Transport Vibration Monitoring]. Petropavlovsk-Kamchatsky: KamchatGTU, 2007. (in Russian)
4. Kaul S. Vibration Isolation - Background. Modeling and Analysis of Passive Vibration Isolation Systems, 2021, pp. 1-26. DOI: 10.1016/B978-0-12-819420-1.00007-8
5. Valizadeh S., Fathalilou M., Rezazadeh G. Material Dielectricity Effects on the Performance of Capacitive Micro-Devices; A Nonlinear Study. International Journal of Mechanics and Materials in Design, 2023, vol. 19, no. 3, pp. 537-552. DOI: 10.1007/s10999-023-09649-6
6. Yakovlev S.N., Mazurin V.L. Vibroisolating Properties of Polyurethane Elastomeric Materials, used in Construction. Magazine of Civil Engineering, 2017, vol. 6, no. 74, pp. 53-60. DOI: 10.18720/MCE.74.5
7. Shian S., Bertoldi K., Clarke D.R. Dielectric Elastomer Based Grippers for Soft Robotics. Advanced Materials, 2015, vol. 27, no. 43, pp. 6814-6819. DOI: 10.1002/adma.201503078
8. Jyh-Horng Wu, Chia-Hao Li, Hsien-Tang Chiu, Zhi-Jian Shong, Peir-An Tsai. Anti-Vibration and Vibration Isolator Performance of Poly (Styrene-Butadiene-Styrene)/Ester-Type Polyurethane Thermoplastic Elastomers. Polymers Advanced Technologies, 2010, vol. 21, no. 3, pp. 164-169. DOI: 10.1002/pat.1411
9. Zhiqiang Xu, Qiuliang Wang, Kejun Zhu, et al. Preparation and Characterization of Magnetorheological Elastic Polishing Composites. Journal of Intelligent Material Systems and Structures, 2019, vol. 30, no. 10, pp. 1481-1492. DOI: 10.1177/1045389X19835960