Torsional Impact of a Stepped Shaft With a Rigid Body at One End

1973 ◽  
Vol 40 (4) ◽  
pp. 1004-1008
Author(s):  
J. A. Dalessandro
Keyword(s):  
Wave Equation ◽  
Rigid Body ◽  
Numerical Solution ◽  
Method Of Characteristics ◽  
Wave Theory ◽  
Single Step ◽  
Qualitative And Quantitative ◽  
Impact Stress ◽  
Elementary Wave ◽  
Stepped Shaft

A numerical solution of the wave equation for torsional impact of a shaft which contains a single step and a rigid body at one end is found using the method of characteristics. The results are based on discontinuous stresses and elementary wave theory at the step. An experiment verified the predicted results, but showed that the actual impact stresses will always be slightly less since they are not discontinuous, as assumed. Some qualitative and quantitative generalizations are made concerning the expected maximum impact stress.

A Comparative Study of Numerical Techniques for Nonequilibrium Method of Characteristics

1992 ◽  
Author(s):  
T. Gary Yip ◽  
David M. Crook ◽  
Timothy P. Buell
Keyword(s):  
Method Of Characteristics ◽  
Solution Process ◽  
Initial Pressure ◽  
Single Step ◽  
Supersonic Combustion ◽  
Duct Flow ◽  
Unit Process ◽  
First Order ◽  
Constant Area ◽  
Fifth Order

Abstract Three techniques which employ different approaches for obtaining a method of characteristics solution for chemical non-equilibrium flows are reviewed and compared. Two features of the solution process are evaluated to determine their effect on the accuracy of the solution. The first aspect to be considered is the integration of the stiff conservation equations in a unit process. A new fifth-order accurate, multi-step integration routine is contrasted with a first-order accurate, single-step forward differencing scheme. The second comparison is designed to determine if a solution of the flowfield along continuous streamlines is superior to one along discontinuous segments of the streamlines. Tests are performed, using a chemical model describing the supersonic combustion of H2-air. Calculations of single unit processes are used to validate the techniques and to determine suitable grid sizes. Solutions for constant area duct flow show that the techniques which use the multi-step integration routine are more accurate. Results from the constant area duct test, for an initial pressure of 3.685 atm, show that a method of characteristics technique which utilizes continuous streamlines is able to converge at a grid size two orders of magnitude larger than that needed by a technique which uses discontinuous segments of streamlines.

scholarly journals Сlassical solution of the mixed problem for the one-dimensional wave equation with the nonsmooth second initial condition

2020 ◽  
Vol 64 (6) ◽  
pp. 657-662
Author(s):  
V. I. Korzyuk ◽  
J. V. Rudzko
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Mixed Problem ◽  
Method Of Characteristics ◽  
Smooth Boundary ◽  
Analytical Form ◽  
Initial Condition ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

In this article, we study the classical solution of the mixed problem in a quarter of a plane and a half-plane for a one-dimensional wave equation. On the bottom of the boundary, Cauchy conditions are specified, and the second of them has a discontinuity of the first kind at one point. Smooth boundary condition is set at the side boundary. The solution is built using the method of characteristics in an explicit analytical form. Uniqueness is proved and conditions are established under which a piecewise-smooth solution exists. The problem with linking conditions is considered.

scholarly journals Simultaneous Detection of Drug-Induced Liver Injury Protein and microRNA Biomarkers Using Dynamic Chemical Labelling on a Luminex MAGPIX System

Analytica ◽  
2021 ◽  
Vol 2 (4) ◽  
pp. 130-139
Author(s):  
Antonio Marín-Romero ◽  
Mavys Tabraue-Chávez ◽  
Bárbara López-Longarela ◽  
Mario A. Fara ◽  
Rosario M. Sánchez-Martín ◽  
...  
Keyword(s):  
Liver Injury ◽  
Simultaneous Detection ◽  
Single Step ◽  
Qualitative And Quantitative Analysis ◽  
Serum Samples ◽  
Drug Induced ◽  
Drug Induced Liver Injury ◽  
Qualitative And Quantitative ◽  
Post Marketing ◽  
Mechanistic Basis

Drug-induced liver injury (DILI) is a potentially fatal adverse event and a leading cause for pre- and post-marketing drug withdrawal. Several multinational DILI initiatives have now recommended a panel of protein and microRNA (miRNA) biomarkers that can detect early liver injury and inform about mechanistic basis. This manuscript describes the development of seqCOMBO, a unique combo-multiplexed assay which combines the dynamic chemical labelling approach and an antibody-dependant method on the Luminex MAGPIX system. SeqCOMBO enables a versatile multiplexing platform to perform qualitative and quantitative analysis of proteins and miRNAs in patient serum samples simultaneously. To the best of our knowledge, this is the first method to profile protein and miRNA biomarkers to diagnose DILI in a single-step assay.

A numerical solution of the parabolic elastic wave equation

1995 ◽  
Vol 98 (5) ◽  
pp. 2953-2953
Author(s):  
Raymond J. Nagem ◽  
Ding Lee ◽  
Gongquin Li
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Numerical Solution ◽  
Elastic Wave Equation
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