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.
oferecido por
Developments of structural dynamics
ISAE-SUPAEROInformações sobre o curso
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Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Nível intermediário
Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.
Aprox. 10 horas para completar
Inglês
Legendas: Inglês
O que você vai aprender
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.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Nível intermediário
Knowledge of point physics, matrix mathematics,solid mechanics and statics of beams will be particularly helpful.
Aprox. 10 horas para completar
Inglês
Legendas: Inglês
oferecido por
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.
Programa - O que você aprenderá com este curso
2 horas para concluir
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 horas para concluir
4 vídeos (Total 11 mín.), 2 leituras, 1 teste
1 hora para concluir
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 hora para concluir
4 vídeos (Total 16 mín.), 2 leituras, 1 teste
3 horas para concluir
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 horas para concluir
8 vídeos (Total 36 mín.), 4 leituras, 2 testes
3 horas para concluir
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 horas para concluir
8 vídeos (Total 44 mín.), 4 leituras, 2 testes
1 hora para concluir
General assessment
1 hora para concluir
1 leitura
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