Vibrations of Curved and Twisted Blades During Complex Rotation

Gulyaev, V. I.; Khudolii, S. N.

doi:10.1007/s10778-005-0109-1

Cited by 8 publications

(12 citation statements)

References 5 publications

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“…A technique for elastic strain analysis of thin rotating shells without possible rotations through angles α and β at the elastic supports was discussed in [1,2,[6][7][8][9][10][11][12]. It is based on the general equations of motion of shells in a curvilinear orthogonal coordinate frame ox 1 x 2 x 3 with the basis vectors r e α on its mid-surface:…”

Section: Critical States Of An Elastic Cylindrical Shellmentioning

confidence: 99%

Rotation of rigid and elastic cylindrical shells elastically coupled with a platform

Solov’ev

2006

Int Appl Mech

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The critical states in simple and compound rotation of thin cylindrical shells elastically coupled with a platform are modeled theoretically. The technique developed has been implemented in a software system intended to analyze the mechanical phenomena associated with the critical states and to establish general conditions for such phenomena to occur. The results obtained may be used to model the dynamic behavior of turbine rotors in aircraft and ship engines

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Section: Critical States Of An Elastic Cylindrical Shellmentioning

confidence: 99%

Rotation of rigid and elastic cylindrical shells elastically coupled with a platform

Solov’ev

2006

Int Appl Mech

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“…A more rigorous test is to check the stability of a beam subjected at the ends to a constant torque M z and a constant longitudinal force T at ω = 0since Eqs. (13) are coupled in this case. With such a combination of loads, the critical torque M z cr is defined by formula (18).…”

mentioning

confidence: 94%

“…With large intervals of integration, the system of equations (12) becomes numerically stiff, adversely affecting the convergence of numerical integration methods. Here we will use the method of initial parameters in combination with the Runge-Kutta method and Godunov's orthogonalization [11][12][13][14]. Now, we will consider an algorithm to solve the system of equations (12).…”

mentioning

confidence: 99%

“…To this end, it is necessary to solve the eigenvalue problem for system (13), (14). First, we write it in vector form:…”

mentioning

confidence: 99%

“…(13) However, the presence of the torque M z makes Eqs. (13) coupled and complicates the determination of the critical parameters. For ω = 0, T P = =const, and M z = const, the critical torque was determined in [7]:…”

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Stability of the equilibrium of rotating drillstrings

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On the dynamics of deployment of an orbital structure with elastic elements

et al. 2006

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The object to be studied is a spacecraft with a deployable pantograph structure as a solar-battery carrier. The objective of research is to design a mathematical model of this structure taking the elasticity of pantograph elements into account. The Lagrangian formalism is followed. To model the dynamic processes in the system, a software package has been developed, which can be adapted, if necessary, to study deployable structures of other types. The behavior of the structure during deployment, collapse, and redeployment under the action of various perturbations is modeled numerically. Plots illustrating the variation of characteristic variables are presented Introduction. Dynamics of reconfigurable systems is one of the promising and important areas of research in mechanics [1,2,5,[8][9][10][11]. Modern spacecraft incorporate elements that transform when in orbit (solar batteries, gravity-gradient booms, antennas, etc.). Such mechanical systems are delivered into orbit compactly packaged and then are deployed into the operational configuration.Issues of current importance in research of reconfigurable systems are minimization of deployment time and energy and the effect of reconfigurable structures on the motion and attitude of the spacecraft. Also, of vital importance is mass reduction for such systems. Their elements should be considered as elastic bodies.1. Mechanical Model. The object of study is a pantograph structure consisting of two connected parallelogram-type linkages (Fig. 1). The mechanical model is a reconfigurable structure with a pantograph-like deployment mechanism mounted on a rigid body.

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Vibrations of Curved and Twisted Blades During Complex Rotation

Cited by 8 publications

References 5 publications

Rotation of rigid and elastic cylindrical shells elastically coupled with a platform

Rotation of rigid and elastic cylindrical shells elastically coupled with a platform

Stability of the equilibrium of rotating drillstrings

On the dynamics of deployment of an orbital structure with elastic elements

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