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On sensitivity in optimal control problems (1974)

Peterson, D. W.

Springer

Journal of optimization theory and applications 13 (1974), S. 56-73

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ISSN: 1573-2878

Keywords: Sensitivity analysis ; control theory ; mathematical programming ; method of multipliers ; Banach spaces

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract Two types of interpretations of multipliers in both static and dynamic optimization problems are described. It is snown that the Lagrange multipliers encountered in mathematical programming problems and the auxiliary functions arising in Pontryagintype optimal control problems sometimes have highly analogous interpretations as rates of change of the optimal attainable value of an objective function, or in some cases as bounds on average rates of change.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00935609

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Fracture of long bones: Rate effects under singular and combined loading states (1983)

Peterson, D. L. ; Skraba, J. S. ; Moran, J. M. ; [et al.]

Hoboken, NJ [u.a.] : Wiley-Blackwell

Journal of Orthopaedic Research 1 (1983), S. 244-250

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ISSN: 0736-0266

Keywords: Fracture behavior ; Axial-torsional loading ; Life and Medical Sciences

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Medicine

Notes: This study was undertaken to determine the effect of loading rate on bone failure under singular and combined loading states. Using the entire loading range of an Instron Materials Testing Machine, 190 pairs of canine radii were tested. One bone of each pair was subjected to either torsional or a combination of axial and torsional loads, and compared with a control specimen. Compressive loads of 4.6 and 11.5 N were utilized. Torque to failure and energy data versus loading rate were plotted. As loading rate increased, the torque and energy values were found to increase, reach a peak, and then decline at higher rates. Fractures produced under the combined state of loading are representative of those clinically found in human trauma situations.

Additional Material: 6 Ill.