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Master's Theses and Project Reports

2011

Biggs' Factors

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Verification And Expansion Of Single-Degree-Of-Freedom Transformation Factors For Beams Using A Multi-Degree-Of-Freedom Non-Linear Numerical Analysis Method, Takayuki Yokoyama Nov 2011

Verification And Expansion Of Single-Degree-Of-Freedom Transformation Factors For Beams Using A Multi-Degree-Of-Freedom Non-Linear Numerical Analysis Method, Takayuki Yokoyama

Master's Theses and Project Reports

The single-degree-of-freedom (SDOF) transformation factors as tabulated in John Biggs’ textbook (Biggs 1964) are accepted as the equivalent factors for simplifying and analyzing a component's response to blast. The study validates the stiffness and mass transformation factors through multi-degree-of-freedom (MDOF) numerical methods. After validating the transformation factors, the MDOF numerical method is used to create new stiffness and mass transformation factors for loading cases not already included in Biggs’ textbook.

The validated factors, as well as the newly developed factors are used in SDOF analyses. The deflections from the SDOF responses accurately predict the MDOF responses as long as ...