Abstract
A method is proposed for calculating plates under an inertial load moving at a variable speed. Test problems of impact effect and motion of a load at a variable speed on a freely supported rectangular plate are considered. Nonlinear contact of the load and plate is modeled. The problem of interaction of a transport system moving in the braking mode after landing on an elastically supported extended plate is examined.
REFERENCES
L. Fryba, Vibration of Solids and Structures under Moving Loads (Academia, Prague, 1972).
Zheng Lu, Hailin Yao, Yongxiang Zhan, and Zhi Hu, “Vibrations of a plate on a two-parameter foundation subjected to moving rectangular loads of varying velocities,” JVE Int. LTD. J. Vibroeng. 16 (3), 1543–1554 (2014).
E. Ghafoori, M. H. Kargarnovin, and A. R. Ghahremani, “Dynamic responses of a rectangular plate under motion of an oscillator using a semi-analytical method,” J. Vib. Control 17 (9), 1310–1324 (2011).
A. N. Blinov, “Plate dynamical reaction onto moving loads,” Zh. Sib. Fed. Univ. Mat. Fiz. 2 (1), 41–47 (2009).
A. P. Filippov, Vibration of Deformable Systems (Mashinostroenie, Moscow, 1970) [in Russian].
S. S. Kokhmanyuk, E. G. Yanyutin, and L. G. Romanenko, Vibrations of Deformable Systems under Pulse and Moving Loads (Naukova dumka, Kiev, 1980) [in Russian].
M. I. Serazutdinov, “Vibration of a plate under uniformly distributed loading moving with variable velocity,” in Proc. Seminar on the Theory of Shells (Kazan Physical and Technical Inst. USSR Acad. Sci., Kazan, 1975), Issue 6, pp. 163–167.
C. E. Inglis, A Mathematical Treatise on Vibrations in Railway Bridges (Univ. Press, Cambridge, 1934).
A. V. Morgaevskii, “On vibrations of a plate carrying a moving load,” Prikl. Mekh. 2 (8), 64–74 (1966).
I. I. Ivanchenko, “Determining moving and impulsive loads of beam systems with distributed parameters,” Int. Appl. Mech. 24 (9), 931–938 (1988).
I. I. Ivanchenko, “On the action of a movable load on bridges,” Mech. Solids 32 (6), 153–157 (1997).
I. I. Ivanchenko, “Design of framed structures modeling bridges for moving loads,” Mech. Solids 36 (4), 121–132 (2001).
I. I. Ivanchenko, “Method to calculate rods under an inertial load moving with variable speed,” Mech. Solids 55, 1035–1041 (2020).
I. I. Ivanchenko, Bridge Dynamics: High-Speed Moving, Aerodynamic and Seismic Loads (Nauka, Moscow, 2021) [in Russian].
P. Museros, A. E. Martinez-Castro, and A. Castillo-Linares, “Semi-analytic solution for Kirchhoff plates traversed by moving loads,” in Proc. EURODYN 2005, Structure Dynamics (Paris, 2005), Vol. 3, pp. 1619–1625.
G. Bonin, G. Cantisani, G. Loprencipe, and A. Ranzo, “Modeling of dynamic phenomena in road and airport pavements,” in Proc. 5th Int. Conf. CROW 2004 (Istanbul, 2004).
Jing Yang, Huajiang Ouyang, and Dan Stancioiu, “An approach of solving moving load problems by ABAQUS and MATLAB using numerical modes,” in Proc. ICVE2015 (Shanghai, Sept. 18–20, 2015).
M. Klasztorav and P. Sziugott, “Modeling and simulation of bridge-track-train systems at high service velocities with LS-DYNA,” in Proc. 12th Int. LS-DYNA Users Conf. (Detroit, 2012).
K. J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis (Prentice-Hall, Englewood Cliffs, NJ, 1976).
N. Newmark, “A method of computation for structural dynamics,” J. Eng. Mech. Div. ASCE 85 (EM3), 67–94 (1959).
S. Timoshenko, Vibration Problems in Engineering (Van Nostrand Co., New York, 1928), pp. 79–81.
I. S. Shumilov, “Mathematical simulation for the wheels braking system of the main aircraft’s chassis,” Mash. Ustanovki: Proekt., Razrab. Ekspl. MGTU im. N. E. Baumana. Elektron. Zh., No. 01, 24–42 (2016).
V. L. Balakin and Yu. N. Lazarev, Aircraft Flight Dynamics. Calculation of Trajectories and Flight Characteristics (Samara Aerospace Univ. Named after S. P. Korolev, Samara, 2011) [in Russian].
I. I. Ivanchenko, “Numerical simulation of wave processes in Timoshenko beam laying on set of elastic-viscous inertial supports,” in Proc. 2nd All-Russian Sci. Conf. Wave Dynamics of Machines and Structures (Nizhny Novgorod, Oct. 28–31, 2007) [in Russian].
S. Leibovich and A. R. Seebass, Nonlinear Waves (Cornell Univ. Press, 1974).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by M. Shmatikov
About this article
Cite this article
Ivanchenko, I.I. Method of Calculating Plates Subjected to an Inertial Load Moving at a Variable Speed. Mech. Solids 57, 2111–2122 (2022). https://doi.org/10.3103/S0025654422080167
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654422080167