Signaux et Systèmes

The objective is to acquire tools of the engineer in deterministic signal processing and automatic continuous time, for a first approach of the main aspects related to the mechanical vibrations in an industrial context: the modeling, the measurement, the control. Localized parameter modeling (lumped parameters) is preferred.

The module consists of two parts:

I Modal Experimental Analysis (4 CM, 6TD, 1TP):

•     SLI Model Linear Invariant System

•     Introduction to the concepts of organization and interaction.

•     Frequency Response Function (F.R.F).

•     Oscillatory and aperiodic mode. Stability.

•     Convolution property. Memory effect.

•     Filtering (RII, RIF).

•     Introduction to the signal concept (Fourier analysis)

•     Digital identification techniques

1.     Consequences of temporal truncation (spectral leakage, resolution)
2. Time Sampling Effects (Spectral Folding, Shannon's Th.)
3. Discrete TF (reciprocal Shannon th)

 
TP Modal Experimental Analysis: Modal identification (impact hammer) and detection of defects of a rotating machine (real-time monitoring by Simulink RTW, problem of starting and stopping machine). Resonance and anti-resonance of a 2 ddl system.

 

II APP Vibrations Under Control (project by team)

 

Through Project Based Learning, students acquire basic concepts and knowledge to control a hydromechanical process. The learning objectives are as follows:

•     The concept of system to represent a physical process.

•     Knowing how to translate the organization (the natural or artificial interactions) of a system by a recursive functional diagram (looped).

•     To be able to translate the phenomena of his specialty, by associations of elementary models: Inertial effect, Resistive, Capacitive.

•     Identify a basic hydromechanical process by analyzing the response to a deterministic solicitation (behavior model)

•     Linearize a nonlinear model around an operating point to obtain a model L.T.I. (Linear Invariant System) in transfer.

•     Determine the stability of a system controlled by the Nyquist criterion.

•     Understand the risks of looped architecture (influence of phase delays on stability).

•     Understand the interest of the looped architecture for performance (for stability, to manage disturbances).

•     Know how to adapt a Proportional controller taking into account the antagonisms between performances (stability / precision, speed / sensitivity to noise).