Dynamic response of rectangular prestressed membrane subjected to uniform impact load

• Autorzy: Li D. , Zheng Z. L. , Liu C. Y. , Zhang G. X. , Lian Y. S. , Tian Y. , Xiao Y. , Xie X. M.

Identyfikatory

DOI

10.1016/j.acme.2017.01.006

• Języki publikacji: EN

Abstrakty

EN

This paper investigated the dynamic response of rectangular prestressed membrane subjected to uniform impact load theoretically and experimentally. The dynamic response proceeds in two stages, namely, forced vibration and free vibration. Firstly, the maximal displacement for forced vibration is obtained by means of the principle of minimum potential energy based on the theoretical model proposed. Then, equations of motion for the transverse free vibration are derived based on thin-plate theory, and simplified by using Galerkin method. Consequently, the analytic solutions of dynamic parameters, such as frequency, displacement, amplitude, velocity, and acceleration, for free vibration are obtained by means of the multiple-scale perturbation method. In order to identify the reliability of theoretical model, the corresponding experimental study is carried out based on the developed experimental system. Furthermore, the effects of pretension force and load on the dynamic response of membrane are discussed, respectively. The present work provides a theoretical model to calculate the dynamic response of prestressed membrane subjected to uniform impact load, and a set of experimental system to study this problem.

Słowa kluczowe

EN

nonlinear vibration; prestressed membrane; uniform impact load; multiple-scale perturbation method

PL

wibracje nieliniowe; drgania swobodne; obciążenie udarowe

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2017
• Tom: Vol. 17, no. 3
• Strony: 586--598
• Opis fizyczny: Bibliogr. 26 poz., rys., tab., wykr.

Twórcy

autor

Li D.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China

autor

Zheng Z. L.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China
• Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, China
• Chongqing Jianzhu College, Chongqing 400072, China

autor

Liu C. Y.

• Urban Railway and Architecture Design Institute (China Railway First Survey & Design Institute Group Co., LTD.), China

autor

Zhang G. X.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China

autor

Lian Y. S.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China

autor

Tian Y.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China

autor

Xiao Y.

autor

Xie X. M.

• School of Civil Engineering, Chongqing University, Chongqing 400045, China

Bibliografia

• [1] C.H. Jenkins, U. Korde, Membrane vibration experiments: an historical review and recent results, Journal of Sound and Vibration 295 (3–5) (2006) 602–613.
• [2] C.H. Jenkins, J.W. Leonard, Nonlinear dynamic response of membranes: state of the art, Applied Mechanics Reviews 49 (10) (1996) 41–48.
• [3] E. Barkanov, Transient response analysis of structures made from viscoelastic materials, International Journal for Numerical Methods in Engineering 44 (3) (1999) 393–403.
• [4] L.G. Young, S. Ranmanathan, et al., Numerical and experimental dynamic characteristics of thin-filmmembranes, International Journal of Solids and Structures 42 (9) (2005) 3001–3025.
• [5] P. Seide, Large deflections of rectangular membranes under uniform pressure, International Journal of Non-Linear Mechanics 12 (6) (1977) 397–406.
• [6] B. Storakers, Small deflections of linear elastic circular membranes under lateral pressure, Journal of Applied Mechanics – Transactions of the ASME 50 (4) (1983) 735–739.
• [7] V.A. Trotsenko, Oscillation and stability of a circular membrane deformed by an elastic load, Soviet Applied Mechanics 27 (7) (1991) 712–718.
• [8] R. Steinmann, H. Friemann, et al., Mechanical behaviour of micromachined sensor membranes under uniform external pressure affected by in-plane stresses using a Ritz method and Hermite polynomials, Sensors and Actuators A Physical 48 (1) (1995) 37–46.
• [9] Y.Y. Zhang, Q.L. Zhang, et al., Load-dependent mechanical of membrane materials and its effect on the static behaviors of membrane structures, Journal of Materials in Civil Engineering 51 (5) (2015) 468–473.
• [10] T.C. Lim, Large deflection of circular auxetic membranes under uniform load, Journal of Engineering Materials and Technology 138 (4) (2016) 1–7.
• [11] R.M. Jones, Mechanics of Composite Materials, McGraw-Hill, New York, 1975.
• [12] S. Matahhari, J. Cameron, Impact strength of fiber pre-stressed composites, Journal of Reinforced Plastics and Composites 17 (2) (1998) 123–130.
• [13] K. Micallef, A.S. Fallah, et al., On the dynamic plastic response of steel membranes subjected to localised blast loading, International Journal of Impact Engineering 89 (2015) 25–37.
• [14] D. Balkan, Z. Mecitoglu, Nonlinear dynamic behavior of viscoelastic sandwich composite plates under non-uniform blast load theory and experiment, International Journal of Impact Engineering 72 (4) (2014) 85–104.
• [15] C. Aksoylar, A. Omercikoglu, et al., Nonlinear transient analysis of FGM and FML plates under blast loads by experimental and mixed FE methods, Composite Structures 94 (2) (2012) 731–744.
• [16] H.D. Conway, Bending of rectangular plates subjected to a uniformly distributed load and to tensile or compressive forces in the plane of the plate, Washington Monthly 38 (11) (2002) 100–102.
• [17] S.P. Singh, Nonlinear Functional Analysis and its Applications, Springer, 1986.
• [18] M. Touratier, An efficient standard plate theory, International Journal of Engineering Science 29 (8) (1991) 901–916.
• [19] Z.L. Zheng, W.J. Song, et al., Study on dynamic response of rectangular orthotropic membranes under impact loading, Journal of Adhesion Science and Technology 26 (10) (2012) 1467–1479.
• [20] C.J. Liu, Z.L. Zheng, et al., Nonlinear damped vibration of pre-stressed orthotropic membrane structure under impact loading, International Journal of Structural Stability and Dynamics 14 (14) (2014) 1–8.
• [21] B.K. Eshmatov, Nonlinear vibrations and dynamic stability of viscoelastic orthotropic rectangular plates, Journal of Sound and Vibration 300 (3-5) (2007) 709–726.
• [22] C.J. Liu, Z.L. Zheng, X.T. He, L–P perturbation solution of nonlinear vibration of prestressed orthotropic membrane in large amplitude, Mathematical Problems in Engineering 2010 (2010) 242–256.
• [23] A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley, New York, 1981.
• [24] J.J. Guo, Z.L. Zheng, S. Wu, An impact vibration experimental research on the pretension rectangular membrane structure, Advances in Materials Science and Engineering 2015 (4) (2015) 1–8.
• [25] U.K. Chakravarty, R. Albertani, Experimental and finite element modal analysis of a pliant elastic membrane for micro air vehicles applications, Journal of Applied Mechanics 79 (2) (2012) 1–6.
• [26] G. Cezary, O. Anita, H.S. Jan, Prestressed composite structures-modeling, manufacturing, design, Composite Structures 151 (2016) 172–182.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)