Abstract:
A mixed finite-element algorithm is proposed to study the dynamic behavior of loaded shells of revolution containing a stationary or moving compressible fluid. The behavior of the fluid is described by potential theory, whose equations are reduced to integral form using the Galerkin method. The dynamics of the shell is analyzed with the use of the variational principle of possible displacements, which includes the linearized Bernoulli equation for calculating the hydrodynamic pressure exerted on the shell by the fluid. The solution of the problem reduces to the calculation and analysis of the eigenvalues of the coupled system of equations. As an example, the effect of hydrostatic pressure on the dynamic behavior of shells of revolution containing a moving fluid is studied under various boundary conditions.
Citation:
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Yaqiong Dong, Ting Xu, Lan Yuan, Yahan Wang, Siwang Yu, Zhi Wang, Shizhu Chen, Chunhua Chen, Weijiang He, Tessandra Stewart, Weiguang Zhang, Xiaoda Yang, “Cerebrospinal fluid efflux through dynamic paracellular pores on venules as a missing piece of the brain drainage system”, Exploration, 4:2 (2024)
Sergey A. Bochkarev, Valerii P. Matveenko, “Natural Vibrations and Stability of Composite Cylindrical Shells Containing a Quiescent Fluid”, Int. J. Appl. Mechanics, 16:08 (2024)
Sergey A. Bochkarev, Sergey V. Lekomtsev, Valerii P. Matveenko, Advanced Structured Materials, 200, State of the Art and Future Trends in Materials Modelling 2, 2024, 47
S. A. Bochkarev, S. V. Lekomtsev, V. P. Matveenko, “Natural Vibrations of Truncated Conical Shells Containing Fluid”, Mech. Solids, 57:8 (2022), 1971
S.A. Bochkarev, S.V. Lekomtsev, A.N. Senin, “Natural vibrations and stability of loaded cylindrical shells partially filled with fluid, taking into account gravitational effects”, Thin-Walled Structures, 164 (2021), 107867
Sergey A. Bochkarev, Sergey V. Lekomtsev, Valery P. Matveenko, “Aeroelastic stability of heated functionally graded cylindrical shells containing fluid”, Mechanics of Advanced Materials and Structures, 24:16 (2017), 1391
Sergey A. Bochkarev, Sergey V. Lekomtsev, Valery P. Matveenko, “Dynamic Analysis of Partially Filled Non-circular Cylindrical Shells with Liquid Sloshing”, Int. J. Appl. Mechanics, 08:03 (2016), 1650027
S. A. Bochkarev, S. V. Lekomtsev, V. P. Matveenko, “Hydrothermoelastic Stability of Functionally Graded Circular Cylindrical Shells Containing a Fluid”, Mech Compos Mater, 52:4 (2016), 507
Valeri Kaledin, Elena Sedova, Yulia Shpakova, “Calculation of Phase Velocities of Traveling Waves in a Cylindrical Shell Based on the Solution Analysis of Boundary Problem of Forced Oscillations”, S&E BMSTU, 14:08 (2014)
S.A. Bochkarev, S.V. Lekomtsev, “Natural vibrations of non-circular cylindrical shells partially filled with fluid with sloshing of free surface”, Comp. Contin. Mech., 7:4 (2014), 471
V. V. Eliseev, Yu. M. Vetyukov, T. V. Zinov'eva, “Divergence of a helicoidal shell in a pipe with a flowing fluid”, J. Appl. Mech. Tech. Phys., 52:3 (2011), 450–458
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