On the effect of viscoelasticity on behavior of gyroscopes

Dastjerdi, Shahriar; Akgöz, Bekir; Cívalek, Ömer

doi:10.1016/j.ijengsci.2020.103236

Cited by 162 publications

(46 citation statements)

References 72 publications

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“…Taking a look at the governing equations, it is clear that a 2D solving process must be considered in which its solution is not possible by common analytical methods. In this article, due to eccentricity and axisymmetric nonlinear problems, applying common analytical and numerical methods are not possible; hence, SAPM method which is presented by Dastjerdi et al 14,49 before is applied again. According to the previous work, the polynomial functions can be presented as follows ( i = 1, 2)…”

Section: Constitutive Equations and Solutionmentioning

confidence: 99%

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Dastjerdi

Malikan

2020

Proceedings of the Institution of Mechanical Engineers, Part N:

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In this article, we have tried to simulate nonlinear bending analysis of a double-layered graphene sheet which contains a geometrical imperfection based on an eccentric hole. The first-order shear deformation theory is considered to obtain the governing equations. Also, the nonlinear von Kármán strain field has been assumed in order to obtain large deformations. Whereas the double-layered graphene sheet has been considered, the effect of van der Waals forces has been taken into account in the analysis. In order to implement the nanoscale impact, the nonlocal elasticity theory has been employed. The solution methodology, which is here based on the semi-analytical polynomial method solving technique presented previously by the authors, has been applied and again its efficiency has been demonstrated due to its highly accurate results. Due to the fact that this research has been done for the first time and there is no validation available, the results of the local single layer sheet are compared with ABAQUS software. The effects of some other parameters on the results have been studied such as the value of eccentricity, van der Waals interaction, and nonlocal parameter.

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Section: Constitutive Equations and Solutionmentioning

confidence: 99%

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Dastjerdi

Malikan

2020

Proceedings of the Institution of Mechanical Engineers, Part N:

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“…The inversion process of the Tippe top is the result of the action of the system of interrelated inertial torques generated by the rotating mass. The intuitive statement of the researchers that that frictional force acting on the Tippe top resulting in its inversion is not correct [5][6][7][8][9][10][11][12][13][14][15][16]. The frictional force acting on the spinning top activates the inertial torques of the Tippe top.…”

Section: Resultsmentioning

confidence: 99%

“…The ratio of the precession and resistance torques is represented by Equation (7). The expression of the angular velocity ω x is defined from the right side of Equation (15). Substituting defined parameters (Table 1, Equation ( 17)) into the right side of Equation ( 15)) and transformation yields the following:…”

Section: Advances In Mathematical Physicsmentioning

confidence: 99%

“…All similar spinning objects with the property of inversion attracted physicists and mathematicians [10][11][12]. They have been studied extensively the gyroscopic effect of Tippe top from the beginning of the nineteenth century [13][14][15]. The inversion property of the top served as an amusing toy for a population that was more attractive than an ordinary disc-type top.…”

Section: Introductionmentioning

confidence: 99%

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The Mathematical Model for the Tippe Top Inversion

Usubamatov

Bergander

Kapayeva

2021

Advances in Mathematical Physics

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The dynamics of rotating objects is an area of classical mechanics that has many unsolved problems. Among these problems are the gyroscopic effects manifested by the spinning objects of different forms. One of them is the Tippe top designed as the truncated sphere which is fitted with a short, cylindrical rod for rotation. The unexplainable gyroscopic effect of the Tippe top is manifested by its inversion towards the support surface. Researchers tried to describe this gyroscopic effect for two centuries, but all modelings were on the level of assumptions. It is natural because the Tippe top has a more complex design than the simple spinning disc, which gyroscopic effects did not have an analytical solution until recent time. The latest research, in the area of gyroscopic effects, reveals the action of the system of several interrelated inertial torques on any spinning object. The gyroscopic inertial torques are generated by their rotating mass. These inertial torques and the variable ratio of the angular velocities of the spinning object around axes of rotations constitute the fundamental principles of gyroscope theory. These physical principles of dynamics of rotating objects enable to description and compute of any gyroscopic effects and also the Tippe top inversion.

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“…So whether the proposed method is suitable for structures considering material nonlinearity and plastic buckling needs further study. In addition, we have noticed some studies [20][21][22] on nano/microstructure. So it is also worth studying to analyze the scaled nano/microshells and plates with methods of this paper.…”

Section: Discussionmentioning

confidence: 99%

Study on the Axial Compression Postbuckling Similitude Model of the Stiffened Cylindrical Shell with Dimple Imperfections

Ding

Xing

et al. 2021

Advances in Civil Engineering

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The body of the new-type dry gas holder is a large stiffened cylindrical shell. Limited by the test site and economic conditions, the buckling characteristics of such holders are generally studied through scale model experiments. Taking the longitudinal-ring rectangular stiffened cylindrical shell as the research object, the generalized similitude condition and scaling principle formula of the structure are derived innovatively based on Donnell’s assumption and the energy method. By means of displacement loading and node coordinates updating, dimple imperfections are introduced into the ideal structure of the stiffened cylindrical shell, and then, the complete similitude and partial similitude analysis of axial compression nonlinear buckling for imperfect structures are carried out. The analysis results show that the complete similitude analysis of stiffened cylindrical shell axial-compression nonlinear buckling can be realized accurately; the partial similitude model for stiffened cylindrical shell axial-compression nonlinear buckling can better predict the buckling characteristics of its prototype structures, and the closer the Poisson’s ratio between the model and the prototype materials is, the more accurate the prediction results are. Meanwhile, the generalized similitude condition and scaling principle formula derived based on the energy method can provide useful reference for the model design and experimental verification of the axial compression buckling of the stiffened cylindrical shell with local geometric imperfections.

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On the effect of viscoelasticity on behavior of gyroscopes

Cited by 162 publications

References 72 publications

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

Mechanical analysis of eccentric defected bilayer graphene sheets considering the van der Waals force

The Mathematical Model for the Tippe Top Inversion

Study on the Axial Compression Postbuckling Similitude Model of the Stiffened Cylindrical Shell with Dimple Imperfections

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