Maximum stress occurred on the root of the bars as expected. Finite element analysis, Approximate model, a numerical optimization algorithm are integrated to create an automated design tool. Results of optimization are given in Table 1. Probabilistic approach is used to get better results after optimization process.
Details of probabilistic approach are given in the following sections. Pressure MPa Gas Spring 2. Loading type characteristics of the model. Finite element modeling: a fully model and b symmetric model. If there are enough samples, each B — , After that moment each design parameter C2 75 30—90 44, In traditional engineering calcu- C3 75 30—90 34, 54 35 lations mean value of each random variable is used.
How- D — , 7. If the ranges of the results are important for the T 40 24—48 28, 30 30 design, some other values should be used more than mean Max. In standard calculations, MPa the range factors in the results are eliminated by using Volume 92,, 52,, In probabilistic design, probability distribu- mm3 tions of the design parameters are calculated.
Probability distribution results show the reliability change of the design. Designer uses the reliability values according to customer desires. This process leads to maximum safety 3. Results of probabilistic design and quality with minimum cost. The distributions of design parameters or independent By using probabilistic design techniques, stress—reliabil- random variables show a type. Most common used distri- ity diagram is obtained. As seen from the diagram stress bution types are normal, lognormal, uniform, exponential, increases with reliability.
The distribution value is about 43 MPa for spring coil loading conditions. Monte Carlo simulation ditions, respectively. As shown in diagram, occurring. In Monte Carlo method, uniform distributions safety factor of 1.
Generally, of random numbers are generated. These values are trans- 2. Number transforming process safety factor is enough as shown in Fig. For gas spring function. To reach a similar distribution type, large num- loading condition, safety factor is about 1. Finite element solution of the model: a nodal solution of Von Mises stress and b nodal solution of displacement. N Generate a uniformly Safety Factor distributed random numbers 1. Spring Coil Convert each random number 0.
Using ramdomly generated set Reliability of parameters, evaluate the performance measure of the Fig. Safety factor-reliability diagram of loading types. Sensitivity of the random variables on stress. Algorithm of Monte Carlo simulation. It is obtained ables are shown below in Table 5. Higher val- Fig. Major changes and additions include: New information on the control of snap-thru energy. A new section on product development for deep drawing. A new section on progressive die design. A new section on fineblanking.
A new section on multislide tooling. Examples of maintenance planning systems. Completely revised information on die setting. Root causes of stamping process variability. Completely revised information on metalworking lubricants. Up-to-date information on die sensors. Correct installation and applications of tonnage meters. Revised welding, heat treating, and surface treatment information.
The individuals and firms who contributed to this edition recognize that there are many benefits beyond any financial recompense to be gained from cooperation and from the mutual assistance. It is recognized, however. This third edition is truly a group effort. Smith is the president and founder of Smith and Associates, a stamping consulting firm in Monroe.
Smith has over 30 years of hands-on experience, most notably his 23 years a s a diemaker and die tryout group leader for Ford Motor Company. Smith was also employed with Western Electric.
Smith is an active member in S M E as well as several other societies. Quick Die Chatlge. Sheet Metul Frrhricution. Albrecht, Dayton Progress Corporation. Western Electric Co. MPD Welding Inc. Michigan John A. Borns, President. Design Standards Corporation, Bridgeport.
Connecticut Rod Denton. Sun Steel Treating Inc. Michigan Lawrence R. Evans, General Manager. Forward Industries. Michigan Phillip A. Gibson, District Manager. Georgia M. Tod Gonzales. General Manager. Product Application Center. National Steel Corporation. Livonia, Michigan Jeffrey Gordish, Manager. Stamping Manager. Flat Rock. Tower Oil and Technology Company. Illinois Stuart P. Auburn Hills. Michigan Karl A. Keyes, President. Feinbliinking Ltd. Fnirfield, Ohio George Keremedjiev, Consultant.
Teknow Educational Service. Bozeman, Montana Roman J. Midway Products Corpo- ration. Michigan Albert A. Manduzzi, Supervisor. Michigan Michael R. Martin, Application Specialist. Darnell and Diebolt Company. McCurdy Company. Iowa Arnold Miedema, President. Capitol Engineering Company. Michigan Eugene J. Narbut, Specialist.
Stamping Manufacturing. Chrysler Corporation. Michigan Robert W. Ford Motor Company. Michigan Anthony Rante, Manager. Mechanical Engineering. Danly Machine, Chicago. Illinois Jerry Rush, U. Amada Ltd.. Buena Park. Michigan Jeffrey L. Michigan Edwin A. Tharrett, General Motors Corp.
Michigan Maurice Wayne, Director. Michigan Bernard J. Wallis, Chairman of the Board. Helm Instrument Company. Ohio Lawrence L. Wilhelm, Production Engineering Manager. Mechanical Working. General Motors Institute. Michigan E. Warren Feddersen, Director of Manufacturing Engineering. General Dynamics Corp.. Snn Diego. California Philip Finkelstein, Proprietor. Mercury Tool and Die Co.. Hamaker, Vice President.
Vanadium-Alloys Steel Co. New York E. Hinkel, Jr. Pennsylvania Ernest W. Horvick, Director of Technical Services. American Zinc Institute. Denver, Colorado Charles R.
Isleib, Ductile Iron Section. The International Nickel Co. New York A. Johnson, Manager. Research Department. Vanadiunl-Alloys Steel Co.. Latrobe, Pennsylkania J. The Magnesium Association. Pennsylvania E. Lockwood, Senior Research Engineer. North American Aviation, Inc.. Canoga Park.
California P. Marsilius, Vice President. The Producto Machine Co. Maxon, Market Development Div. Mohrnheim, Associate Professor of Metallurgy. University of Rhode Island. Kingston, Rhode Island Joseph J. Naegelen, Maintenance Engineer, Pittsburgh Railways. Pittsburgh, Penn- sylvania Henry Nida, Manager. Ford Motor Co. Michigan Robert C. Orrell, Westinghouse Electric Corp.. Cleveland, Ohio John Pearson, Head. Detonation Physics Group, U.
California David D. Pettigrew, Assistant Manager. Pennsylvania W. Potthoff, Supervisor of Tooling. The Emerson Electric Manufacturing Co. Missouri Edward A. Reed, General Supervisor.
Drafting, General Motors Corp.. Flint, Michigan. Rheingold, President, Templet Industries, Inc. Minster, Ohio J. Riedel, Bethlehem Steel Corp.. Bendix Corp.. Utica, New York E. Roark, Precision Forge Co. Flint, Michigan David Ryffel, Jr. Sabroff, Assistant Chief. Metalworking Div. Michigan Floyd E. Smith, President. Automation Devices. Pennsylvania Ray B. Stephens, Chief Engineer. Advance Stamping Co.. Brighton, Michigan H.
Towell, Manufacturing Engineer, Texas Instruments. Texas F. Missouri J. Wingard, Chief Engineer, Presses. Bliss Co.. Ohio Dr. Louis Zernow, President. Shock Hydrodynamics, Inc. If you wish to use an appropriate metric value in its place or convert from metric to English , the following conversion factors are listed below. I joule. Progressive Die Design. Progressive Dies. Compound and Combination Dies. Designing Dies for Automation.
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