Published since 1923
DOI: 10.33622/0869-7019
Russian Science Citation Index (RSCI) на платформе Web of Science


  • STRUCTURAL MECHANICS
  • Transient Wave Processes Of Deformation Of The Rod Of Finite Length In Case Of Pulse Exposure
  • UDC 624.04:534.11
    doi: 10.33622/0869-7019.2024.07.48-52
    Vladimir L. MONDRUS, mondrus@mail.ru
    Alexander L. ZONENBERG, zonenberg@list.ru
    National Research Moscow State Civil Engineering University, Yaroslavskoye shosse, 26, Moscow 129337, Russian Federation
    Abstract. Based on the theory of S. P. Timoshenko, an exact analytical solution of the non-stationary problem for a rod of finite length is given under the influence of a pulsed bending moment applied at the end of the rod. This solution, built in the form of traveling waves using Bessel functions, is necessary for the study of transient wave processes of deformations of rods. The work uses operational calculus based on the Laplace-Carson integral transformation in time. The time interval from the beginning of the process to the moment when the bending wave front passed three times along the rod is considered. Mathcad was used to compute the integrals. Graphs of changes of dimensionless search functions in time are given, allowing to estimate the contribution of reflected waves. The results of the work can be used in the practice of calculating buildings and structures for the effect of short-time and rapidly changing loads.
    Keywords: non-stationary problems, theory of S. P. Timoshenko, rod of finite length, pulsed effect, propagation and reflection of waves, traveling waves, operational ratio
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    2. Timoshenko S. P. Kurs teorii uprugosti [Course in the theory of elasticity]. Kiev, Naukova dumka Publ., 1972. 508 p. (In Russ.).
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    6. Lurie A. I. Operacionnoe ischislenie i ego prilozheniya k zadacham mekhaniki [Operational calculus and its application to the problems in mechanics]. Moscow, Leningrad, Gostekhizdat Publ., 1950. 432 р. (In Russ.).
  • For citation: Mondrus V. L., Zonenberg A. L. Transient wave processes of deformation of the rod of finite length in case of pulse exposure. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 2024, no. 7, pp. 48-52. (In Russ.). doi: 10.33622/0869-7019.2024.07.48-52

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