scholarly journals Interaction of a Cylindrical Tank Bottom with an Elastic Foundation

2018 ◽  
Vol 251 ◽  
pp. 04020
Author(s):  
Andrey Leontyev ◽  
Avgustina Astakhova ◽  
Mikhail Maksimov
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Rectangular Cross Section ◽  
Slope Angle ◽  
Relative Length ◽  
Longitudinal Axis ◽  
External Action ◽  
Elastic Base ◽  
Vertical Walls ◽  
The Given

The problem of static analysis of a circular cylindrical shell located on the elastic base of the Winkler and reinforced by longitudinal ribs is considered. The stiffeners have a rectangular cross section. The external action is represented by forces evenly distributed along the longitudinal axis, acting on the ribs from the upper structure. It is assumed that at the ends of the shell there are flat vertical walls, which give the contour absolute rigidity in the transverse direction and do not interfere with the longitudinal movement of the shell points. The General moment theory of a circular cylindrical shell is used to solve the problem. A computer program has been developed to implement the proposed algorithm. With the help of the program, a number of examples of calculation are made In the given examples, the influence of such factors as the relative length and thickness, the slope angle of the solution shell, the relative stiffness of the onboard elements on the stress state of the shell is analyzed.

Interaction of a Circular Cylindrical Shell with an Elastic Foundation

2018 ◽  
Vol 878 ◽  
pp. 3-7
Author(s):  
Vladimir I. Andreev ◽  
Andrey N. Leontiev
Keyword(s):  
Cylindrical Shell ◽  
Circular Cylindrical Shell ◽  
Rectangular Cross Section ◽  
Relative Length ◽  
Longitudinal Axis ◽  
Winkler Foundation ◽  
Total Moment ◽  
Relative Rigidity ◽  
Vertical Walls ◽  
The Impact

The problem of static analysis of a circular cylindrical shell, which is located on elastic Winkler foundation and reinforced by the longitudinal edges are considered. There is rib stiffness of rectangular cross section. Exposure is represented evenly distributed along the longitudinal axis forces. The forces acting on the edges of the rigidity of the upper structure. Agreed that the ends of the envelope is flat, vertical walls, giving the contour of the absolute rigidity in the transverse direction and does not prevent the longitudinal displacement of points of the envelope. To solve the problem, the total moment theory of circular cylindrical shell was used. To implement the proposed algorithm is the calculation of computer program. With the help of the program is executed a number of examples of calculation. In these examples, analyze the impact of stress on the shell of such factors as the relative length and thickness, angle mortar shell, the value of the relative rigidity of airborne elements and other.

About the Stabilization of Anisotropic Cylindrical Shell With Elastic Filling

2000 ◽  
Author(s):  
Vladimir Sarkisyan ◽  
Sarkis Sarkisyan
Keyword(s):  
Differential Equation ◽  
Cylindrical Shell ◽  
Mechanical System ◽  
Mechanical Systems ◽  
Elastic Base ◽  
Optimal Stabilization ◽  
Convergence Of Series ◽  
Symmetric Kernel ◽  
The Given ◽  
Anisotropic Cylindrical Shell

Abstract The problems about the optimal stabilization of mechanical system of a potency of continuum have the large interest, both theoretical and practical. The solution of such problems is reduced to the nonhomogeneous integro-differential equation with the symmetric kernel. The essential results in the solution of problems of the optimum stabilization for mechanical systems of a potency of continuum are obtained [4], [5]. In work [4,5,6] the convergence of series of solutions and the finiteness of a target functional is proved uniformly. Solved a numerous problems of the optimal stabilization of vibrations of plates and rather slanting shells. In various statements the problem of the optimal stabilization for anisotropic cylindrical shells are solved in [6] etc. The given work is attempt to fill in a gap the problems of the stabilization by the problems about the optimal stabilization of vibrations of shells with filling, where the filling as Winkler’s elastic base, and for filling of Vlasov’s model [3] is considered.

Quasi-Periodic Control Technique for Minimizing Fuel Consumption During Record Vehicle Competition

2013 ◽  
Vol 60 (2) ◽  
pp. 185-197 ◽  
Author(s):  
Paweł Sulikowski ◽  
Ryszard Maronski
Keyword(s):  
Fuel Consumption ◽  
Optimal Control Theory ◽  
Slope Angle ◽  
Control Technique ◽  
Decision Variables ◽  
Aeronautical Engineering ◽  
The One ◽  
Optimal Driving ◽  
The Given ◽  
Engine Power

The problem of the optimal driving technique during the fuel economy competition is reconsidered. The vehicle is regarded as a particle moving on a trace with a variable slope angle. The fuel consumption is minimized as the vehicle covers the given distance in a given time. It is assumed that the run consists of two recurrent phases: acceleration with a full available engine power and coasting down with the engine turned off. The most fuel-efficient technique for shifting gears during acceleration is found. The decision variables are: the vehicle velocities at which the gears should be shifted, on the one hand, and the vehicle velocities when the engine should be turned on and off, on the other hand. For the data of students’ vehicle representing the Faculty of Power and Aeronautical Engineering it has been found that such driving strategy is more effective in comparison with a constant speed strategy with the engine partly throttled, as well as a strategy resulting from optimal control theory when the engine is still active.

scholarly journals Isospectrals of non-uniform Rayleigh beams with respect to their uniform counterparts

2018 ◽  
Vol 5 (2) ◽  
pp. 171717 ◽  
Author(s):  
Srivatsa Bhat K ◽  
Ranjan Ganguli
Keyword(s):  
Boundary Condition ◽  
Cross Section ◽  
Natural Frequencies ◽  
Rectangular Cross Section ◽  
Beam Equation ◽  
The Finite Element Method ◽  
Rayleigh Beam ◽  
Uniform Beam ◽  
Governing Differential Equation ◽  
The Given

In this paper, we look for non-uniform Rayleigh beams isospectral to a given uniform Rayleigh beam. Isospectral systems are those that have the same spectral properties, i.e. the same free vibration natural frequencies for a given boundary condition. A transformation is proposed that converts the fourth-order governing differential equation of non-uniform Rayleigh beam into a uniform Rayleigh beam. If the coefficients of the transformed equation match with those of the uniform beam equation, then the non-uniform beam is isospectral to the given uniform beam. The boundary-condition configuration should be preserved under this transformation. We present the constraints under which the boundary configurations will remain unchanged. Frequency equivalence of the non-uniform beams and the uniform beam is confirmed by the finite-element method. For the considered cases, examples of beams having a rectangular cross section are presented to show the application of our analysis.

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