Application of the Finite Element Method to Predict Static and Dynamic Response of an Unshrouded Centrifugal Compressor Blade

1971 ◽  
Author(s):  
W. R. Buell ◽  
F. M. Simpson
1978 ◽  
Vol 100 (4) ◽  
pp. 660-666 ◽  
Author(s):  
A. L. Salama ◽  
M. Petyt

The finite element method is used to study the free vibration of packets of blades. A packet of six shrouded blades is analyzed, only the tangential vibrations being considered. Results are obtained to establish the effect of certain parameters such as stiffness ratio, mass ratio, the number of blades in the packet, the effect of rotation and the position of the lacing wires. The dynamic response of a packet to periodic loading is also studied. The cases of engine order harmonic excitation and partial admission of gas are considered with reference to a packet of six shrouded blades.


1995 ◽  
Vol 117 (1) ◽  
pp. 11-16 ◽  
Author(s):  
G. Sinha ◽  
M. Mukhopadhyay

Stiffened plates and shells often find wide application in bridge engineering, aircraft, ship and allied industries owing to its high strength to weight ratios. They are often subjected to dynamic loading such as air blast loading, for which detailed dynamic analysis is required to study the structure under these conditions. In the present approach, the dynamic response of stiffened plates and shells has been investigated by the finite element method employing a high precision arbitrary-shaped triangular shell element in which stiffeners may lie in any arbitrary direction within the element. This provides greater flexibility in the mesh generation. The governing undamped equations of motion have been solved by Newmark’s method for direct time integration. The dynamic response of plates and shells with or without stiffeners, subjected to different kinds of load-history have been studied and results are compared with the published analytical results.


2013 ◽  
Vol 864-867 ◽  
pp. 2367-2370
Author(s):  
Feng Zhu ◽  
Ai Wu Cao ◽  
Geng Ying

Maximum distribution of hydrodynamic pressure on the flume sidewall were studied in this paper based on the finite element method. It contains the difference comparison of theoretical and numerical formulas, rules of maximum hydrodynamic pressure distribution under regular and irregular incentives, and hydrodynamic pressure changes with different height of bracket below the aqueduct. Studies show that: In the 30m height range, with the rise of bracket, the hydrodynamic pressure grows linearly.


2020 ◽  
Vol 43 (01) ◽  
Author(s):  
THAI PHUONG TRUC

Written for senior-year undergraduates and first-year graduate students with solid backgrounds in differential and integral calculus, this paper is oriented toward engineers and applied mathematicians. Consequently, this paper should be useful to senior-year undergraduates the finite element method [1]. The scaled direct approach is adopted for this purpose and each step in the finite element solution process is given in full detail. For this reason, all students must be exposed to (and indeed should master). This paper provides the general framework for the development of nearly all (nonstructural) finite element models. The finite element method of analysis is a very powerful, modern computational tool. Applications range from deformation and stress analysis of automotive, aircraft, building, and bridge structures to field analysis of beat flux, fluid flow, magnetic flux, seepage, and other flow problems. This paper presents study and comparison of numerical methods which are used for evaluation of dynamic response. A Single Degree of Freedom (SDF)-linear problem is solved by means of Newmark’s Average acceleration method [2], Linear acceleration method [2], Central Difference method [6,7] with the help of MATLAB. The advantages, disadvantages, relative precision and applicability of these numerical methods are discussed throughout the analysis.


Author(s):  
M K Rashid ◽  
A S Al-Yahmadi

Elimination of tool vibration error from old turning machines can reduce industrial waste, save money, and improve design. A disc-stack smart material actuator is used in counteracting the radial disturbing cutting force. Solution of this problem using the finite element method proved to be of broader use compared with the previously investigated lumped-mass modelling in reaching justifiable conclusions for the dynamic response of the tool post. Magnitudes of structural stiffness ratios and their significance in designing an intelligent tool post for position error elimination are also evaluated. The time-dependent dynamic response of the tool post is investigated using pulse width modulation (PWM) as voltage excitation for smart material. Results indicated the importance of controlling the number of PWM cycles in each force period to have a favourable transient response. Solution outcome proved the importance of limiting the time delay between the actuation force and the applied voltage to have better control in position error elimination. Even though increasing the tool-post damping within a reasonable range can reduce tool-post error, the major improvement is noticed by modifying the PWM voltage and its time duration. The estimated static voltage in error elimination does not necessarily have to be identical with the dynamic applied voltage as obtained from the finite element method model.


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