scholarly journals Casimir energy for a purely dielectric cylinder by the mode summation method

2005 ◽  
Vol 621 (3-4) ◽  
pp. 309-317 ◽  
Author(s):  
August Romeo ◽  
Kimball A. Milton
Keyword(s):  
Casimir Energy ◽  
Summation Method ◽  
Dielectric Cylinder ◽  
Mode Summation Method

scholarly journals ZERO-POINT ENERGY OF A DILUTE DIELECTRIC BALL IN THE MODE SUMMATION METHOD

2001 ◽  
Vol 16 (30) ◽  
pp. 1983-1995 ◽  
Author(s):  
G. LAMBIASE ◽  
G. SCARPETTA ◽  
V. V. NESTERENKO
Keyword(s):  
Vacuum Energy ◽  
Bessel Functions ◽  
Zero Point ◽  
Casimir Energy ◽  
Addition Theorem ◽  
Summation Method ◽  
Point Energy ◽  
Mode Summation Method ◽  
Clear Method

In the (ε1-ε2)2-approximation the Casimir energy of a dilute dielectric ball is derived using a simple and clear method of the mode summation. The addition theorem for the Bessel functions enables one to present in a closed form the sum over the angular momentum before the integration over the imaginary frequencies. The linear in (ε1-ε2)2 contribution into the vacuum energy is removed by an appropriate subtraction. The role of the contact terms used in other approaches to this problem is elucidated.

Low Cost Pipe-crawling Pneumatic Robot

2002 ◽  
Vol 14 (4) ◽  
pp. 400-407 ◽  
Author(s):  
Andrea Manuello Bertetto ◽  
◽  
Maurizio Ruggiu
Keyword(s):  
Low Cost ◽  
Summation Method ◽  
Robot Dynamics ◽  
Inspection Robot ◽  
Robot Locomotion ◽  
Gait Kinematics ◽  
Significant Acceleration ◽  
Pipeline Networks ◽  
Assumed Mode ◽  
Mode Summation Method

A pipes inspection robot prototype was built and a mathematical modeling of its dynamics was developed. In order to pass over complicated pipeline networks, the robot was constructed with a flexible rubber structure moved by pneumatics power The robot locomotion was inspired by the inch-worm gait kinematics. Because of significant acceleration values revealed during the robot gait, the robot dynamics was mathematically formulated either by a single degree of freedom model or by the assumed mode summation method. A set of experiments were conducted for obtaining all the parameters required for models formulation. Finally the models were validated by comparing the numerical and experimental robot gait with time.

A Tunable Vibration Absorber Design to Suppress Chatter in Boring Manufacturing Process

2007 ◽  
Author(s):  
H. Moradi ◽  
F. Bakhtiari-Nejad ◽  
M. R. Movahhedi
Keyword(s):  
Transmission Lines ◽  
Gas Turbines ◽  
Block Diagram ◽  
Summation Method ◽  
Vibration Absorber ◽  
Vibration Absorbers ◽  
Electrical Transmission ◽  
Dynamic Vibration Absorbers ◽  
Euler Bernoulli Beam ◽  
Mode Summation Method

Dynamic vibration absorbers are used to reduce the undesirable vibrations in many applications such as electrical transmission lines, helicopters, gas turbines, engines, bridges and etc. One type of these absorbers is tunable vibration absorber (TVA) which can act as a semi-active controller. In this paper, by applying a (TVA), chatter vibration is suppressed during boring process in which boring bar is modeled as a cantilever Euler-Bernoulli beam. The optimum specifications of absorber such as spring stiffness, absorber mass and its position can be determined by developing an algorithm based upon mode summation method. Finally, using the SIMULINK Toolbox of MATLAB, the analog simulated block diagram of the problem is developed. The advantage of this simulation is that, one can analyze the effect of other types of excitations such as step, ramp, etc on the absorbed system.

Drill string instability reduction by optimum positioning of stabilizers

2009 ◽  
Vol 224 (3) ◽  
pp. 647-653 ◽  
Author(s):  
M F Mahyari ◽  
M Behzad ◽  
G R Rashed
Keyword(s):  
Potential Energy ◽  
Equilibrium Position ◽  
Continuous System ◽  
Summation Method ◽  
Drill String ◽  
Degree Of Freedom ◽  
Second Derivative ◽  
First Derivative ◽  
Weight On Bit ◽  
Mode Summation Method

The main aim of this article is to find the optimum positions of the stabilizers that reduces the vibration and leads to the largest weight on bit (WOB) in drill strings. In this work, the potential energy of drill strings has been derived by considering the drill string weight and WOB. The potential energy of this continuous system is considered as a multi-degree-of-freedom system by the mode summation method. The equilibrium position of the system and its stability is determined by finding the roots of the first derivative and the sign of the second derivative of the potential energy, respectively. Using this formulation, the best positions of stabilizers that lead to the largest WOB can be found for different numbers of stabilizers. The best arrangement of the stabilizer's position on a drill string with one, two, and three stabilizers is investigated.

Dynamic Response and Vibration of a Cantilevered Beam under an Accelerated Moving Mass

2013 ◽  
Vol 711 ◽  
pp. 305-311 ◽  
Author(s):  
Bong Jo Ryu ◽  
Hee Jung Kim ◽  
Young Shik Kim
Keyword(s):  
Equations Of Motion ◽  
Experimental Tests ◽  
Summation Method ◽  
Dynamic Responses ◽  
Inertia Force ◽  
Moving Mass ◽  
Governing Equations ◽  
Cantilevered Beam ◽  
Galerkin’S Mode Summation Method ◽  
Mode Summation Method

In this research we investigate dynamic responses and vibration of a cantilevered beam subjected to a moving mass with variable speeds. Governing equations of motion under a moving mass are derived by Galerkin's mode summation method considering the effects of all forces acting on the beam (gravity force, Coriolis force, inertia force caused by a slope of the beam, and transverse inertia of the beam). A Runge-Kutta integration method is then applied to calculate dynamic responses of the beam. The effects of the speed, acceleration and the magnitude of the moving mass on the response of the beam are investigated in these numerical analyses. Furthermore, experimental tests are conducted to validate our analysis.

scholarly journals Casimir energy for a dielectric cylinder

2005 ◽  
Vol 320 (1) ◽  
pp. 108-134 ◽  
Author(s):  
Inés Cavero-Peláez ◽  
Kimball A. Milton
Keyword(s):  
Casimir Energy ◽  
Dielectric Cylinder
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