Andrea Macar
Analysis of numerical methods based on modal shapes for the dynamic response analysis of aircraft structures.
Rel. Marco Gherlone. Politecnico di Torino, Corso di laurea magistrale in Ingegneria Aerospaziale, 2024
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Abstract
The thesis compares different methods used to obtain structural dynamic responses: Mode Displacement, Modal Truncation Augmentation, and Mode Acceleration. There is limited existing literature on these methods, with only a few recent scientific articles providing further insights into their differences and capabilities. The thesis conducts detailed analyses of the mentioned methods and also compares the "Inertia Relief-based" method to the Modal Truncation Augmentation method. Both methods are implemented by default in MSC Nastran's RESVEC function, which calculates residual vectors to obtain improved structural dynamic responses. Chapter 1 discusses the first methods, while Chapter 2 focuses on their implementation, code validation using reference literature data, and application to the Euler-Bernoulli beam finite element model.
This section also aims to numerically and analytically compare the methods using different defined performance coefficients
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