423 Analytical Method of Stability Criterion for Collision Vibration System in Cantilever Beam Considered Structural and External Damping

2011 ◽  
Vol 2011 (0) ◽  
pp. _423-1_-_423-10_
Author(s):  
Tatsuhito AIHARA ◽  
Hiroyuki KUMANO
2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Yongjun Hou ◽  
Mingjun Du ◽  
Pan Fang ◽  
Yuwen Wang ◽  
Liping Zhang

The mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typical analysis method, the Poincare method, is applied to study the synchronization characteristics, and the balanced equations and stability criterion of the system are obtained. Obviously, it can be seen that many parameters affect the synchronous state of the system, especially the stiffness of the support spring, the stiffness of the connecting spring, and the installation location of the motors. Meanwhile, choose a suitable stiffness of the connecting spring (k), which would play a significant role in engineering. Finally, computer simulations are used to verify the correctness of the theoretical analysis.


2014 ◽  
Vol 592-594 ◽  
pp. 2011-2015 ◽  
Author(s):  
Pravin Kumar ◽  
S.K. Nayak ◽  
Anil M. Datar ◽  
Gian Bhushan

This paper focuses on the calculation of modal frequencies and corresponding mode shapes of Gun Barrel by analytical method and the Finite Elements Method. Modal analysis is used to find out natural and succeeding two modes frequencies for transverse vibration. Barrel is considered as a cantilever beam. Recoil of Gun Barrel is incorporated as variation in the length cantilever beam. Increase in modal frequencies due to gun barrel recoil is observed. It is concluded that the transverse vibration of gun barrel coupled with the recoil produces a band of frequencies in each modes. The analysis and results discussed can be used for design and performance evaluation, selection of accessories and attachments of gun systems.


2013 ◽  
Vol 838-841 ◽  
pp. 555-558
Author(s):  
Ying Pan

Sliding mode control is a good way to design controller with self-adaptive and robustness, It can be used to discuss the vibration problems of mechanism and structure with time-delay. By using constant-speed approach, the controller is designed law and the stability criterion presented without delay information, which make the stability analysis of the vibration structure with time-delay straightforward.


1994 ◽  
Vol 16 (4) ◽  
pp. 44-48
Author(s):  
Tran Van Tuan ◽  
Do Sanh ◽  
Phan Van Thao

In this paper an analytical method for studying dynamics of a beating-vibration system on elastic foundation with the aid of computer is presented. The obtained results will be applied to the calculation and optimal design of vibration machines worked by the above represented principle.


Author(s):  
D R Parhi ◽  
A K Behera

An analytical method along with the experimental verification have been utilized to investigate the vibrational behaviour of a cracked beam with a moving mass. The local stiffness matrix is taken into account when analysing the cracked beam. The Runge—Kutta method has been used to solve the differential equations involved in analysing the dynamic deflection of a cantilever beam.


Author(s):  
John A. Trotter

Hemoglobin is the specific protein of red blood cells. Those cells in which hemoglobin synthesis is initiated are the earliest cells that can presently be considered to be committed to erythropoiesis. In order to identify such early cells electron microscopically, we have made use of the peroxidatic activity of hemoglobin by reacting the marrow of erythropoietically stimulated guinea pigs with diaminobenzidine (DAB). The reaction product appeared as a diffuse and amorphous electron opacity throughout the cytoplasm of reactive cells. The detection of small density increases of such a diffuse nature required an analytical method more sensitive and reliable than the visual examination of micrographs. A procedure was therefore devised for the evaluation of micrographs (negatives) with a densitometer (Weston Photographic Analyzer).


Author(s):  
P. Echlin ◽  
M. McKoon ◽  
E.S. Taylor ◽  
C.E. Thomas ◽  
K.L. Maloney ◽  
...  

Although sections of frozen salt solutions have been used as standards for x-ray microanalysis, such solutions are less useful when analysed in the bulk form. They are poor thermal and electrical conductors and severe phase separation occurs during the cooling process. Following a suggestion by Whitecross et al we have made up a series of salt solutions containing a small amount of graphite to improve the sample conductivity. In addition, we have incorporated a polymer to ensure the formation of microcrystalline ice and a consequent homogenity of salt dispersion within the frozen matrix. The mixtures have been used to standardize the analytical procedures applied to frozen hydrated bulk specimens based on the peak/background analytical method and to measure the absolute concentration of elements in developing roots.


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