This course is devoted to the dynamic implementation of continuous structural elements vs discrete models. The matrix representation and implicit solution of Lagrange’s equation are at the heart of this approach, in the framework of conservative structural systems, with Gaussian modes.
von
Developments of structural dynamics
ISAE-SUPAEROÜber diesen Kurs
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Stufe „Mittel“
Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.
Ca. 10 Stunden zum Abschließen
Englisch
Untertitel: Englisch
Was Sie lernen werden
To implement a matrix approach of dynamics system.
To understand the deep signification of the Lagrange representation.
To be able to make the link between a digital and a continuous dynamic system.
Flexible Fristen
Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.
Zertifikat zur Vorlage
Erhalten Sie nach Abschluss ein Zertifikat
100 % online
Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.
Stufe „Mittel“
Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.
Ca. 10 Stunden zum Abschließen
Englisch
Untertitel: Englisch
von
ISAE-SUPAERO
ISAE-SUPAERO, world leader in aerospace engineering higher education, has trained over 21,000 highly skilled engineers since its creation in 1909. We have been educating students to have the most advanced scientific and engineering skills, helping the aeronautics and space industry to anticipate and adapt to the latest scientific, economic and social changes. We welcome the best students from all over the world and educate them to be future responsible leaders driving the development of our society and contributing to technological innovation in aeronautics and space. Located in Toulouse, France, we benefit from a unique ecosystem, both at the heart of the European capital for aeronautics and space and of a thriving aerospace higher education and research campus.
Lehrplan - Was Sie in diesem Kurs lernen werden
2 Stunden zum Abschließen
Analytical dynamics
We will discover the power of Lagrange formalism able to generate the equation of any discrete dynamic system. This seems miraculous because, from energies, we directly extract the complete dynamic equations.
2 Stunden zum Abschließen
4 Videos (Gesamt 11 min), 2 Lektüren, 1 Quiz
1 Stunde zum Abschließen
Linear structures
Linearity is an important domain. Not only because it corresponds to powerfull mathematic tools but also because it's a nominal way to move for a structure. In this topic, we master the modeling of any digital linear system.
1 Stunde zum Abschließen
4 Videos (Gesamt 16 min), 2 Lektüren, 1 Quiz
3 Stunden zum Abschließen
Discrete eigenshapes
We solve the digital dynamic system by Gaussian diagonalization, thus we discover the concept of natural shapes (or eigenshapes), fundamental for the dynamic behavior of any structure. This opens the world towards resonances and implicit analysis. In fact, the modes represent the actual dynamic DNA of the structure.
3 Stunden zum Abschließen
8 Videos (Gesamt 36 min), 4 Lektüren, 2 Quiz
3 Stunden zum Abschließen
Dynamics of beam
Real structures are made with continuous beams and shells. Beams are the ideal prototype for the demonstration of continuous modes showing clearly that there is no fundamental difference between discrete and continuous dynamic shapes. We solve the essential problem of bended dynamic beam representing for instance a bridge, a wing, a javelin in flight, etc.
3 Stunden zum Abschließen
8 Videos (Gesamt 44 min), 4 Lektüren, 2 Quiz
1 Stunde zum Abschließen
General assessment
1 Stunde zum Abschließen
1 Lektüre
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