Abstract
The dependence of stress concentrations (structural stress, notch stress and crack stress intensity) on the dimension ratios in the structure under review, can be presented within delineated dimension areas as a simple approximation formula. The dimension ratios occur multiplicatively in this formula, with initially unknown exponents (smaller than one). The exponents can be determined from a small number of supporting point values of the stress concentration. They indicate to the designer the dimension ratios to which the stress concentration reacts particularly “sensitively”, the direction in which this occurs and how large the possible reduction is. On the other hand, it becomes clear which dimension ratios have no or little influence on the stress concentration. The designer is thus provided with a valuable aid for structural optimisation. The method is demonstrated by way of example for the notch stress concentrations of welded cruciform joints.
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References
Radaj, D.: Zur vereinfachten Darstellung der mehrparametrigen Formzahlabhängig keit. Konstruktion 38 (1986) No. 5, p 193–197.
Radaj, D.; Zhang, S.: Mehrparametrige Strukturoptimierung hinsichtlich Spannungserhöhungen. Konstruktion 42 (1990) No. 9, p. 289–292.
Wardenier, J.: Hollow section joints. Delft University Press, Delft 1982.
Radaj, D.; Schilberth, G.: Kerbspannungen an Ausschnitten und Einschlüssen. DVS-Verlag, Düsseldorf 1977.
Eberhard, A.: Einfluß der Formgebung auf die Spannungsverteilung von Kurbelkröpfungen mit Längsbohrungen. MTZ Motortechn. Zeitschr. 34 (1973) No. 7, p. 205–210 and No. 9„ p. 303–307.
Radaj, D.: Gestaltung und Berechnung von Schweißkonstruktionen - Ermüdungsfestigkeit. DVS-Verlag, Düsseldorf 1985.
Radaj, D.: Design and analysis of fatigue resistant welded structures. Abington Publishing, Cambridge 1990.
Rainer, G.: Parameterstudien mit Finiten Elementen–Berechnung der Bauteilfestigkeit von Schweißverbindungen unter äußeren Beanspruchungen. Konstruktion 37 (1985) No. 2, p. 45–52.
Yung, J.-Y.; Lawrence, F. V.: Analytical and graphical aids for the fatigue design of weldments. Fatigue Fract. Engng. Mater. Struct. 8 (1985) No. 3, p. 223–241.
Turmov, G. P.: Determining the coefficient of concentration of stresses in welded joints. Avt. Svarka 10, p. 14–16.
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© 1991 Springer-Verlag Berlin, Heidelberg
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Radaj, D., Zhang, S. (1991). Multiparameter Design Optimisation in Respect of Stress Concentrations. In: Eschenauer, H.A., Mattheck, C., Olhoff, N. (eds) Engineering Optimization in Design Processes. Lecture Notes in Engineering, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84397-6_18
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DOI: https://doi.org/10.1007/978-3-642-84397-6_18
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