tailieunhanh - Standard Handbook of Machine Design P14

CHAPTER 11 MINIMIZING ENGINEERING EFFORT Charles R. Mischke, ., . Professor Emeritus of Mechanical Engineering Iowa State University Ames, Iowa INTRODUCTION/ REDUCING THE NUMBER OF EXPERIMENTS / SIMILITUDE/ OPTIMALITY/ QUADRATURE/ CHECKING/ REFERENCES/ NOMENCLATURE a b C D dim E En et / f® F g h / / I1 k Distance, range number, bilaterial tolerance Width, range number Constant Helix diameter Dimensional operator Young's modulus Error using n applications of Simpson's rule The /th exponent Function The /th derivative of function / Fundamental dimension of force, fractional reduction of interval of uncertainty Function Function, ordinate spacing Index Second. | CHAPTER 11__ MINIMIZING ENGINEERING EFFORT Charles R. Mischke . . Professor Emeritus of Mechanical Engineering Iowa State University Ames Iowa INTRODUCTION REDUCING THE NUMBER OF EXPERIMENTS SIMILITUDE OPTIMALITY QUADRATURE I CHECKING REFERENCES NOMENCLATURE a Distance range number bilaterial tolerance b Width range number C Constant D Helix diameter dim Dimensional operator E Young s modulus En Error using n applications of Simpson s rule e The ith exponent f Function i The zth derivative of function f F Fundamental dimension of force fractional reduction of interval of uncertainty g Function h Function ordinate spacing i Index I Second area moment value of integral Approximate value of integral using i applications of Simpson s rule k Spring rate STANDARD HANDBOOK OF MACHINE DESIGN K Exponent of fundamental dimension in row i of parameter j in dimensional matrix L Fundamental dimension of length Span left In Natural logarithm m Mass subscript of model n Number N Number of experiments to establish a robust functional relationship among n parameters number of function evaluations N Number of experiments to establish a robust functional relationship among dimensionless parameters Na Number of active turns in a spring N. Number of pi terms in a complete set p Number of points necessary to establish a robust functional relationship between two parameters P Load Q Fundamental dimension of charge r Rank of dimensional matrix right s Scale factor the ratio of model over prototype dimension T Fundamental dimension of time x Location parameter x Abscissa of extreme of a function xe xr Range numbers on left and right respectively y Transverse beam deflection A Tolerable error 0 Fundamental dimension of temperature n The th pi term Location in Simpson s rule application interval where error term is exact INTRODUCTION The old carpenter s admonition Measure twice cut once reminds