analytical and low-order numerical modeling of ball

The analytical solution presented in this paper has been established by performing the two-port network based equivalent circuit modeling of the birdcage RF coil The proposed analytical solution uses T-matrix theory and develops a relationship between the input impedance of the birdcage coil and the impedances of its leg and end-ring segments Hess et al have shown interesting properties of the analytical solution that we have not focused on such as the theoretical angular resolution limitation with respect to the harmonic order ℓ of the basis the better performance of the analytical solution for low sampling density of q‐ball ODF reconstruction compared to Tuch's numerical

Low

2016-6-1Free Online Library: Low-order contact load distribution model for Ball nut assemblies (Report) by SAE International Journal of Passenger Cars - Mechanical Systems Transportation industry Nuts and bolts Mechanical properties Strains and stresses Models Stress relaxation (Materials) Stress relieving (Materials) Stresses (Materials)

Rise Time The rise time is the time required for the system output to rise from some lower level x% to some higher level y% of the final steady-state value For first-order systems the typical range is 10% - 90% Bode Plots Bode diagrams show the magnitude and phase of a system's frequency response plotted with respect to frequency

2014-2-14In order to validate the capability of the numerical model discussed in Section 2 for predicting inelastic buckling fracture and post-fracture behavior of steel concentrically braced frames a single story single span chevron-braced frame specimen was tested at the

Modeling in practice: The development of global climate models The desire to model Earth's climate on a long-term global scale grew naturally out of numerical weather prediction The goal was to use equations to describe atmospheric circulation in order to understand not just tomorrow's weather but large-scale patterns in global climate including dynamic features like the jet stream and

Quantitative analysis is the process of collecting and evaluating measurable and verifiable data such as revenues market share and wages in order to understand the behavior and performance of a business In the era of data technology quantitative analysis is considered the preferred approach to making informed decisions

Analytical and numerical modeling on resonant

2017-12-1Furthermore the numerical parametric studies are carried out for the effects of coating properties and inclusion volume fractions on the elastic wave propagating in these two composite materials Some valuable conclusions are obtained in Section 5 2 Analytical models 2 1 Analytical inclusion resonant frequency

2009-12-18has been strongly motivated by the relatively low cost of simulating events before conducting destructive tests and by the always increasing accuracy and efficiency of numerical methods When modeling an impact event the components are typically classified into

2016-1-1The motion equations and numerical solutions are derived The modal experiments are conducted for validation of the presented model With the proposed mathematical model parameter-dependent dynamics of the feeding carriage of the spindle (FCoS) is also discussed Finally a conclusion is drawn 2 Analytical Modeling Approach 2 1 Dynamic Model

2006-8-30In order to avoid the poor surface quality and potential machine damage due to chatter the material removal rate is usually reduced The analysis and modeling of chatter is complicated due to the time varying dynamics of milling chatter which can be avoided without sacrificing the productivity by using analytical methods presented in this paper

2015-9-17between the ball and screw (or the nut) in the ball screw This analysis of slipping can well meet the requirement of the engineering practice for the low and medium speed of ball screw but the slipping caused by the centrifugal force and between the balls cannot be ignored at high-speed

We propose a comprehensive modeling approach to investigate the rigid-flexible coupling vibration of a Ball-screw-drive spindle system (BSDSS) Taking into account the rigid-flexible coupling between the ball screw and rigid components a hybrid dynamic model for the BSDSS is established The ball screw shaft was modeled by a flexible beam with axial torsional and transverse deformations

2011-9-9Numerical Methods for a Nonlinear Impact Model: A Comparative Study With Closed-Form Corrections Stefano Papetti Federico Avanzini and Davide Rocchesso Abstract—A physically based impact model—already known and exploited in the field of sound synthesis—is studied using both analytical tools and numerical simulations It is shown that the

2016-8-26NUMERICAL AND ANALYTICAL MODELING OF TRANSIT TIMING VARIATIONS The period of this candidate planet places it far from any low-order MMRs with the other two planets and its influence on the TTVs of Kepler-307 b and c should be negligible especially given its small size and an ensemble of walkers is initialized in a tight ball

Metals Test Methods and Analytical

A Numerical Strip-Yield Model for the Creep Crack Incubation in Steels Morphology of γ′ Precipitates in a First Stage Low Pressure Turbine Blade of a Ni-Based Superalloy after Service and after Following Aging Layer Growth Kinetics during Post-Discharge Nitriding Point Load Weight Functions for Semi-Elliptical Cracks in Finite Thickness Plate

2017-1-6Ai is the middle of Ai1 and Ai2 Bij is the center of ball joint number j on the traveling plate side Bi is the middle of Bi1 and Bi2 vk is unitary vector of revolute joint on side number k of the traveling plate (k = 1::2) see Fig 4 Ck is the center of the revolute joint on the side number k of the traveling plate D is the end point of the robot Fig 2 H4 robot - joint-and-loop graph

2016-5-6Over the last hundred years many techniques have been developed for the solution of ordinary differential equations and partial differential equations While quite a major portion of the techniques is only useful for academic purposes there are some which are important in the solution of real problems arising from science and engineering In this chapter only very limited techniques for

A Numerical Strip-Yield Model for the Creep Crack Incubation in Steels Morphology of γ′ Precipitates in a First Stage Low Pressure Turbine Blade of a Ni-Based Superalloy after Service and after Following Aging Layer Growth Kinetics during Post-Discharge Nitriding Point Load Weight Functions for Semi-Elliptical Cracks in Finite Thickness Plate

2011-3-132009 American Control Conference Hyatt Regency Riverfront St Louis MO USA June 10-12 2009 WeC01 4 Modeling Analysis and Optimal Design of the Automotive Transmission Ball Capsule System Xingyong Song Mohd Azrin Mohd Zulkefli

Numerical model predicted a lower value after first peak because in FE model the ball is not completely sphere shape thus the surface of it is not smooth enough thus the contact force decreased compare with experiment and analytical solutions after first contact force peak Figure 3 illustrates the beam deflection versus time after ball impact

An analytical modeling approach for ball screw feed drives is proposed to predict the dynamic behavior of the feeding carriage of a spindle Mainly considering the rigidity of linear guide modules a ball-screw-feeding spindle is modeled by a mass-spring system The contact stiffness of rolling interfaces in linear guide modules is accurately calculated according to the Hertzian theory

1993-7-1COMBUSTION AND FLAME 94: 113-124 (1993) 113 Analytical and Numerical Modeling of Flame-Balls in Hydrogen-Air Mixtures J BUCKMASTER Department of Aeronautical and Astronautical Engineering University of Illinois Urbana IL M SMOOKE Department of Mechanical Engineering Yale University New Haven CT V GIOVANGIGLI Centre de Mathematiques Appliques and CNRS Ecole

We propose a comprehensive modeling approach to investigate the rigid-flexible coupling vibration of a Ball-screw-drive spindle system (BSDSS) Taking into account the rigid-flexible coupling between the ball screw and rigid components a hybrid dynamic model for the BSDSS is established The ball screw shaft was modeled by a flexible beam with axial torsional and transverse deformations

2014-2-26numerical and experimental results The method-ology developed in this paper enables characteriza-tion of the average mechanical properties of the actual solder joints at low strain range with high accuracy where other conventional methods usu-ally fail TEST VEHICLE The test vehicles are CABGA packages with a 10 9 10 ball grid array (BGA)