Converse problem of a flexible circular plate under an axisymmetric load

1966 ◽  
Vol 2 (1) ◽  
pp. 11-14
Author(s):  
N. P. Fleishman ◽  
I. D. Kaplevatskii
Keyword(s):  
Circular Plate ◽  
Converse Problem ◽  
Axisymmetric Load ◽  
Flexible Circular Plate

Thermal stresses in a flexible circular plate of variable rigidity

1981 ◽  
Vol 17 (7) ◽  
pp. 669-672
Author(s):  
Ya. M. Grigorenko ◽  
N. N. Kryukov ◽  
T. G. Akhalaya
Keyword(s):  
Circular Plate ◽  
Thermal Stresses ◽  
Variable Rigidity ◽  
Flexible Circular Plate

Frequencies of a Flexible Circular Plate Attached to the Surface of a Light Elastic Half-Space

1959 ◽  
Vol 26 (1) ◽  
pp. 13-17
Author(s):  
G. N. Bycroft
Keyword(s):  
Free Vibration ◽  
Circular Plate ◽  
Half Space ◽  
Fundamental Frequency ◽  
Elastic Half Space ◽  
Flexible Circular Plate

Abstract The frequencies of free vibration of a thin, flexible, circular plate stuck to the surface of a massless elastic half-space are solved by an application of the Rayleigh-Ritz principle. The approximate fundamental frequency is considered in detail when the plate is clamped, free, or hinged at its periphery. The method of obtaining the higher frequencies, such as those involving nodal diameters, is indicated.

The Dynamics of a Gyroscope Supported by a Flexible Circular Plate

1982 ◽  
Vol 49 (3) ◽  
pp. 601-605 ◽  
Author(s):  
J. S. Burdess
Keyword(s):  
Angular Velocity ◽  
Circular Plate ◽  
Angular Displacement ◽  
Performance Characteristics ◽  
Free Motion ◽  
Rigid Rotor ◽  
Modes Of Operation ◽  
Constant Rate ◽  
Flexible Circular Plate

The dynamics of a rigid rotor supported on a flexible circular plate is investigated and it is shown that the arrangement is capable of operating as a tuned free rotor gyroscope. The performance characteristics of the gyroscope are evaluated and the analysis shows that the steady displacment of the rotor may be used to measure either the angular velocity or angular displacement of the supporting casing. For both modes of operation the free motion and the response to a constant rate and a vibratory input is determined.

scholarly journals Wave energy extraction from a floating flexible circular plate

2022 ◽  
Vol 245 ◽  
pp. 110275
Author(s):  
S. Michele ◽  
S. Zheng ◽  
D. Greaves
Keyword(s):  
Circular Plate ◽  
Wave Energy ◽  
Energy Extraction ◽  
Flexible Circular Plate

Analysis of a Low Speed Flexible Flat Land Thrust Bearing

1990 ◽  
Vol 112 (4) ◽  
pp. 678-683
Author(s):  
M. Carpino
Keyword(s):  
Circular Plate ◽  
Thrust Bearing ◽  
Flat Surface ◽  
Hydrodynamic Lubrication ◽  
Fluid Film ◽  
Surface Point ◽  
Low Speed ◽  
Flexible Circular Plate

The problem of a flexible flat land thrust bearing is studied here. The bearing consists of a flexible circular plate running against a rigid flat surface. Point loads are applied to the plate at equally spaced locations causing deflection of the plate. The deflection of the plate creates the converging clearances necessary for hydrodynamic lubrication. The fluid film between the disk and the plate is treated as incompressible. Results are presented in terms of normalized variables enabling the design of a broad range of bearings based on this mechanism.

ROM of Voltage Response of Parametric Resonance of Electrostatically Actuated MEMS Plates

2015 ◽  
Author(s):  
Dumitru I. Caruntu ◽  
Reynaldo Oyervides ◽  
Valeria Garcia
Keyword(s):  
Natural Frequency ◽  
Circular Plate ◽  
Parametric Resonance ◽  
Electrostatic Force ◽  
Alternate Current ◽  
Voltage Response ◽  
Flexible Plate ◽  
Restoring Force ◽  
Electrostatically Actuated ◽  
Flexible Circular Plate

This paper deals with electrostatically actuated Micro-Electro-Mechanical Systems (MEMS) circular plates. The system consists of a flexible circular plate with the edge fixed above a parallel ground plate. The forces acting on the MEMS plate are the electrostatic, damping, and elastic restoring force. In this work Casimir and/or van der Waals forces are neglected, since they are significant for gaps less than one micron and/or 50 nanometers, respectively. The electrostatic force is given by a soft Alternate Current (AC) harmonic voltage between the two plates. The electrostatic force leads the flexible plate into vibration. The assumption of axisymmetrical vibrations is valid in this work. The AC frequency is near natural frequency of the flexible circular plate. Since the electrostatic force is proportional to the square of the voltage, this results in an electrostatic force of frequency twice the natural frequency. Therefore the system experiences a parametric resonance. The partial differential equation of motion is non-dimensionalized. Next the resulting lumped parameters are found from a typical MEMS circular plate resonator. Reduced Order Model (ROM) is the method of investigation used in this work, specifically two terms ROM. Numerical simulations are conducted to predict the voltage response of the system. The effects of frequency and damping on the response are predicted as well. MEMS circular plate systems are excellent candidates for resonator sensors, i.e. sensors functioning at resonance. They are capable of detecting cells, viruses, as well as any microparticles provided the plates are coated for such recognition.

Calculation of the dynamics of a flexible circular plate on a linearly deformable base

1993 ◽  
Vol 34 (1) ◽  
pp. 117-122
Author(s):  
O. D. Pryakhina ◽  
V. V. Satarova ◽  
O. M. Tukodova
Keyword(s):  
Circular Plate ◽  
Deformable Base ◽  
Flexible Circular Plate
Sign in / Sign up

Export Citation Format

Share Document