×

Method to calculate rods under an inertial load moving with variable speed. (English. Russian original) Zbl 1460.74036

Mech. Solids 55, No. 7, 1035-1041 (2020); translation from Prikl. Mat. Mekh. 83, No. 5-6, 808-816 (2019).
Summary: A method for calculating rods under the action of a load and its motion with variable speed is proposed. Test problems on the motion of a force or a load with variable speeds along a pin-ended beam and on the motion of a high-speed train at braking across a bridge consisting of four beam spans are considered.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Fryba, L., Vibration of Solids and Structures Under Moving Loads (1972), Prague: Academia, Prague · Zbl 0301.73015 · doi:10.1007/978-94-011-9685-7
[2] Siu-Seong Low and Xin-Qun Zhu, Moving Loads - Dynamic Analysis and Identification Techniques (2011), London: CRC Press, London
[3] Lowan, A. N., “On transverse oscillations of beams under the action of moving variable loads,” Philos, Mag. Ser. 7, No, 127, 708-715 (1935) · JFM 61.1203.04 · doi:10.1080/14786443508561407
[4] Suzuki, S., Dynamic behaviour of a finite beam subjected to travelling loads with acceleration, J. Sound Vibr., 55, 65-70 (1977) · Zbl 0366.73057 · doi:10.1016/0022-460X(77)90583-1
[5] I. N. Vasyanin and N. B. Shenderov, “Asymptotic method for calculating cantilever beams motion caused by mobile concentrated loading,” Sb. Nauchn. Tr. Chelyab. Politekhn. Inst., No. 77, 29-35 (1969).
[6] S. S. Kokhmanyuk and A. P. Filippov, “Dynamic impact, caused by a load moving with varying velocity, to the beam,” Stroit. Mekh. Raschet Sooruzh., No. 2, 36-39 (1967).
[7] Korenev, B. G.; Rabinovich, I. M., Dynamic Calculation of Buildings and Constructions (Handbook for Designer) (1984), Moscow: Stroiizdat, Moscow
[8] Ryazanova, M. Ya., “Beam oscillations caused by a load moving along the beam,” Dokl. Akad. Nauk Ukr, SSR, No., 2, 157-161 (1958)
[9] Ivanchenko, I. I., Rolling and pulse loads calculation for bar systems with distributed parameters, Prikl. Mekh., 24, 109-118 (1988) · Zbl 0725.73053
[10] Ivanchenko, I. I., Dynamics of Transport Infrastructure. High-Speed Moving, Seismic and Shock Loads (2011), Moscow: Nauka, Moscow
[11] Ivanchenko, I. I., Dynamics of bridge structures and track structures under the action of railway moving load, Mech. Solids, 40, 127-141 (2005)
[12] A. Ya. Kogan, A. A. L’vov, and M. A. Levinzon, “Characteristics of rolling stock and rails spectral roughness velocities up to 350 km/h,” Tr. Vses. Nauchno-Issled. Inst. Zheleznodorozhn. Transp., No. 3, 10-14 (1991).
[13] R. U. Naumenko, I. Yu. Khizha, and E. G. Bogomaz, “Braking of passenger high-speed train by considering a work performed by electromagnetic rail brake,” Nauka Progress Transp. Vestn. Dnepropetrovsk. Nats. Univ. Zheleznodorozhn. Transp., No. 29, 44-48 (2009).
[14] I. I. Ivanchenko, “The way to calculate interaction between high-speed stock and double-track beam bridges under seismic impacts. Part 2. Moving and seismic loads impacts onto the bridge. The way to simulate safety elements in the system “bridge-stock”. (on norms generation for high-speed railway),” Stroit. Mekh. Raschet Sooruzh., No. 6, 34-44 (2018).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.