Thermal Effect on the Transverse Vibration of Spinning Disk of Variable Thickness

1975 ◽  
Vol 42 (2) ◽  
pp. 358-362 ◽  
Author(s):  
N. C. Ghosh
Keyword(s):  
Thermal Effect ◽  
Traveling Waves ◽  
Variable Thickness ◽  
Transverse Vibration ◽  
Additional Condition ◽  
Forward Speed ◽  
Thermal Distribution ◽  
Disk Rotation ◽  
Spinning Disk ◽  
Comprehensive Study

An attempt has here been made to consider the thermal effect on the transverse vibration of a spinning disk of variable thickness. For a comprehensive study of the problem, it has been assumed that the rate of generation of heat is fixed per unit volume. Consequently, it is observed that such a heat-generation influences the natural frequency of vibration considerably and thereby the traveling waves which happen to be moving around the disk-circumference during vibration. Toward the end of the paper it has also been shown that there may exist an additional condition for the formation of a standing wave other than the condition of coincidence of backward speed of the traveling waves with the forward speed of disk-rotation in the absence of chosen thermal distribution.

Thermal Effect on the Transverse Vibration of High-Speed Rotating Anisotropic Disk

1985 ◽  
Vol 52 (3) ◽  
pp. 543-548 ◽  
Author(s):  
N. C. Ghosh
Keyword(s):  
Thermal Effect ◽  
Transverse Vibration ◽  
High Speed ◽  
Critical Speed ◽  
Rotating Disk ◽  
Central Temperature ◽  
Disk Rotation ◽  
Turbine Disks ◽  
Anisotropic Disk ◽  
Steady State Heat

An attempt has been made to consider the thermal effect on the transverse vibration of a high-speed rotating disk in a steady-state heat conduction. The material of the disk, in this case, is assumed to be thermomechanically anisotropic. The present attempt is made with an objective to provide some theoretical studies on the problem that may serve as a base from which more detailed investigations with regard to the usage of composite material may be attempted to gain new and needed design information regarding turbine disks and thereby to reduce the chances of turbine failure. In this connection a new critical speed of disk rotation has been obtained and consequently this critical speed is found to depend on central temperature, thermomechanical anisotropy, and so forth.

Design of a Variable Thickness Plate to Focus Bending Waves

2012 ◽  
Author(s):  
Noah H. Schiller ◽  
Sz-Chin Steven Lin ◽  
Randolph H. Cabell ◽  
Tony Jun Huang
Keyword(s):  
Numerical Simulations ◽  
Thin Plate ◽  
Traveling Waves ◽  
Variable Thickness ◽  
Focal Point ◽  
Frequency Range ◽  
Additional Energy ◽  
Broad Frequency Range ◽  
Bending Waves ◽  
Energy Dissipated

This paper describes the design of a thin plate whose thickness is tailored in order to focus bending waves to a desired location on the plate. Focusing is achieved by smoothly varying the thickness of the plate to create a type of lens, which focuses structure-borne energy. Damping treatment can then be positioned at the focal point to efficiently dissipate energy with a minimum amount of treatment. Numerical simulations of both bounded and unbounded plates show that the design is effective over a broad frequency range, focusing traveling waves to the same region of the plate regardless of frequency. This paper also quantifies the additional energy dissipated by local damping treatment installed on a variable thickness plate relative to a uniform plate.

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