A parametric study of vibration of rotating pre-twisted and tapered low aspect ratio cantilever plates

Sreenivasamurthy, S.; Ramamurti, V.

doi:10.1016/0022-460x(81)90515-0

Cited by 29 publications

(2 citation statements)

References 10 publications

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“…This formulation is developed based on the formulation given by Sreenivasamurthy and Ramamurti [20]. Consider the rotating beam shown in figure 1.…”

Section: Modeling Of a Rotating Beam With Piezo Actuatorsmentioning

confidence: 99%

Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics

Dhuri

Seshu

2006

Smart Mater. Struct.

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Piezoelectric actuators are commonly considered for active vibration control of smart structures. The placement and sizing of the actuators are normally decided based on control effectiveness. A piezo actuator affects the host structure's mass and stiffness properties and thus alters the original system, which would have been designed to have a certain natural frequency spectrum in relation to the disturbance excitation. For a rotating structure, the mass of the actuator additionally contributes to the centrifugal stiffening effect. In the event of failure of the active system, natural frequencies of the structure with piezos (now rendered passive) become significant. Considering the example of a stationary and rotating beam-like structure, it is attempted to identify the piezo actuator sizing and location that possess significant control effectiveness yet cause minimal change in the system dynamics.

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“…This formulation is developed based on the formulation given by Sreenivasamurthy and Ramamurti [20]. Consider the rotating beam shown in figure 1.…”

Section: Modeling Of a Rotating Beam With Piezo Actuatorsmentioning

confidence: 99%

Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics

Dhuri

Seshu

2006

Smart Mater. Struct.

View full text Add to dashboard Cite

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“…As two-dimensional structures, rotating plates have been investigated by many scholars. [1][2][3][4][5][6][7][8][9] Young and Liou 10 presented a method to investigate the Coriolis effect on the vibration of a cantilever rotating plate. Cote et al 11 examined the effects of shear deformation and rotary inertia on the free vibration of a rotating annular plate.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock

Zhao

Wang

Pan

et al. 2020

Advanced Composites Letters

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This article presents an analytical investigation on vibration characteristics of rotating graphene nanoplatelet (GPL)-reinforced plates subjected to rub-impact and thermal shock. The effective material properties are assumed to vary continuously and smoothly along the thickness direction of the plate and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. Considering the gyroscopic effect, the equations of motion are derived by adopting the Hamilton’s principle based on the Kirchhoff’s plate theory. Then, the Galerkin method and the small parameter perturbation method are utilized to obtain the free and forced vibration results for the rotating plate. A detailed parametric study is conducted to examine the effects of the GPL weight fraction, GPL distribution pattern, length-to-thickness ratio and length-to-width ratio of GPLs, and the rotating speed on free vibration characteristics of the nanocomposite plate. Attention is also given to the influences of the GPL weight fraction, thermal flow, and friction coefficient on forced vibration responses of the plate. The obtained results can play a role in the design of a rotating GPL-reinforced plate structure to achieve significantly improved mechanical performance.

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Total Lagrangian formulation for the large displacement analysis of rectangular plates

Chang

Shabana

1990

Numerical Meth Engineering

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In this paper, a method for the non-linear dynamic analysis of rectangular plates that undergo large rigid body motions and small elastic deformations is presented. The large rigid body displacement of the plate is defined by the translation and rotation of a selected plate reference. The small elastic deformation of the midplane is defined in the plate co-ordinate system using the assumptions of the classical theories of plates. Non-linear terms that represent the dynamic coupling between the rigid body displacement and the elastic deformation are presented in a closed form in terms of a set of time-invariant scalars and matrices that depend on the assumed displacement field of the plate. In this paper, the case of simple two-parameter screw displacement, where the rigid body translation and rotation of the plate reference are, respectively, along and about an axis fixed in space, is first considered. The non-linear dynamic equations that govern the most general and arbitrary motion of the plate are also presented and both lumped and consistent mass formulations are discussed. The non-linear dynamic formulation presented in this paper can be used to develop a total Lagrangian finite element formulation for plates in multibody systems consisting of interconnected structural elements.

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A parametric study of vibration of rotating pre-twisted and tapered low aspect ratio cantilever plates

Cited by 29 publications

References 10 publications

Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics

Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics

Analytical solution for vibration characteristics of rotating graphene nanoplatelet-reinforced plates under rub-impact and thermal shock

Total Lagrangian formulation for the large displacement analysis of rectangular plates

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