Research to the H8800��s Rotor System of Cone Crusher based on free vibration at constraint condition

Nonlinear axisymmetric free vibration analysis of liquid-filled spherical shells with volume constraint condition using membrane theory is presented in this paper. The energy functional of the shell and contained liquid can be expressed based on the principle of virtual work using surface fundamental form and is written in the appropriate forms. Natural frequencies and the corresponding mode shapes for specified axisymmetric vibration amplitude of liquid-filled spherical shells can be calculated by finite element method (FEM). A nonlinear numerical solution can be obtained by the modified direct iteration technique. The results indicate that the Lagrange multiplier is a parameter for adapting the internal pressure in order to sustain the shell in equilibrium state for each mode of vibration with the volume constraint condition. The axisymmetric mode shapes of the liquid-filled spherical shells under volume constraint condition were found to be in close agreement with those in existing literature for an empty spherical shell. Finally, the effects of support condition, thickness, initial internal pressure, bulk modulus of internal liquid, and elastic modulus on the nonlinear axisymmetric free vibration and change of pressure of the liquid-filled spherical shells with volume constraint condition were demonstrated. The parametric studies showed that the change of pressure has a major impact on the fundamental vibration mode when compared with the higher vibration modes.

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The Influence of a Cracked Blade on Rotor’s Free Vibration

Journal of Vibration and Acoustics ◽

10.1115/1.2948381 ◽

2008 ◽

Vol 130 (5) ◽

Cited By ~ 7

Author(s):

Yi-Jui Chiu ◽

Shyh-Chin Huang

Keyword(s):

Free Vibration ◽

Natural Frequency ◽

Natural Frequencies ◽

Bending Moment ◽

Rotor System ◽

Coupled Modes ◽

Mode Localization ◽

Coupled Vibrations ◽

Crack Location ◽

Blade System

The influence on the coupled vibrations among shaft, disk, and blades of a rotor system due to a cracked blade was investigated analytically. On the shaft-disk-blade system, without a cracked blade, there exist three types of coupled modes, shaft disk blade (SDB), disk blade (DB), and blade-blade. A cracked blade was found to change not only the natural frequencies but also the types of coupled modes. First, the DB modes disappeared and were replaced by SDB modes. Second, in some modes the disk experienced mode localization due to the cracked blade. Numerical results showed that natural frequencies varied with the blade’s crack location and depth. At no bending moment places the crack imposed no effect. The crack affected the natural frequency slightly until its depth reached as deep as 70% then the frequency dropped abruptly.

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Free Vibration Analysis of Rotating Functionally Graded Beams Using the p-Version of the Finite Element Method

Oct. 17-19, 2017 Dubai (UAE) ◽

10.15242/dirpub.dir1017402 ◽

2018 ◽

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

The Finite Element Method ◽

Element Method

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The free vibration analysis of nonlocal SLGS based on various plate theories under magnetic field

International Conference on Machine Learning, Electrical and Mechanical Engineering (ICMLEME'2014) Jan. 8-9, 2014 Dubai (UAE) ◽

10.15242/iie.0114068 ◽

2014 ◽

Keyword(s):

Magnetic Field ◽

Free Vibration ◽

Vibration Analysis ◽

Free Vibration Analysis

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Hybrid Reduced Model of Rotor

Archive of Mechanical Engineering ◽

10.2478/meceng-2013-0021 ◽

2013 ◽

Vol 60 (3) ◽

pp. 319-333

Author(s):

Rafał Hein ◽

Cezary Orlikowski

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Hybrid Model ◽

Rotor System ◽

Reduced Model ◽

Order Model ◽

Gyroscopic Effect ◽

Reduced Models ◽

Rigid Finite Element Method ◽

Low Order

Abstract In the paper, the authors describe the method of reduction of a model of rotor system. The proposed approach makes it possible to obtain a low order model including e.g. non-proportional damping or the gyroscopic effect. This method is illustrated using an example of a rotor system. First, a model of the system is built without gyroscopic and damping effects by using the rigid finite element method. Next, this model is reduced. Finally, two identical, low order, reduced models in two perpendicular planes are coupled together by means of gyroscopic and damping interaction to form one model of the system. Thus a hybrid model is obtained. The advantage of the presented method is that the number of gyroscopic and damping interactions does not affect the model range

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Using phase field and third-order shear deformation theory to study the effect of cracks on free vibration of rectangular plates with varying thickness

Transport and Communication Science Journal ◽

10.25073/tcsj.71.7.10 ◽

2020 ◽

Vol 71 (7) ◽

pp. 853-867

Author(s):

Phuc Pham Minh

Keyword(s):

Free Vibration ◽

Shear Deformation ◽

Phase Field ◽

Deformation Theory ◽

Plate Thickness ◽

Shear Deformation Theory ◽

Rectangular Plates ◽

Equilibrium Equations ◽

Third Order ◽

Free Vibration Frequency

The paper researches the free vibration of a rectangular plate with one or more cracks. The plate thickness varies along the x-axis with linear rules. Using Shi's third-order shear deformation theory and phase field theory to set up the equilibrium equations, which are solved by finite element methods. The frequency of free vibration plates is calculated and compared with the published articles, the agreement between the results is good. Then, the paper will examine the free vibration frequency of plate depending on the change of the plate thickness ratio, the length of cracks, the number of cracks, the location of cracks and different boundary conditions

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