Servizi per la didattica

Mechanical Metamaterials for Wave and Noise Control (didattica di eccellenza)


A.A. 2018/19

Course Language


Course degree

Doctorate Research in Mechanical Engineering - Torino

Course structure
Teaching Hours
Lezioni 15
Teacher Status SSD h.Les h.Ex h.Lab h.Tut Years teaching
Garibaldi Luigi Professore Ordinario ING-IND/13 2 0 0 0 1
Teaching assistant

SSD CFU Activities Area context
*** N/A ***    
PERIOD: JULY Massimo Ruzzene is the Pratt and Whitney Professor in the Schools of Aerospace and Mechanical Engineering at Georgia Institute of Technology. Mechanical metamaterials exploit geometry, topology, internal resonances, and nonlinearities to achieve unusual dynamic properties. These properties include their ltering capabilities resulting from the presence of frequency bandgaps and to direct waves in speci c directions as a result of anisotropy, as well as their ability to guide waves along prede ned path according to modes that are immune to defects. The course will provide an introduction to fundamental concepts that govern the behavior of mechanical metamaterials and that guide their design for applications related to wave steering, guiding and attenuation, vibration isolation and localization, and noise control. The course will begin by reviewing basic concepts of wave motion, illustrated on simple spring-mass chains of oscillators. These will be then extended to one dimensional and two dimensional periodic structural components, to lead to the study of engineering relevant con gurations such as beams and plates. Examples of applications and recent ndings in the area of dispersion topology will be also presented in the concluding part of the course. The course is organized in 3 parts, each covering approximately 5 hours of content.
Topics  Part 1: Basic concept in wave propagation and analysis of 1D discrete lattices { Introduction { The wave equation, dispersion relation, and group and phase velocities { The discrete 1D spring mass lattice: dispersion, wave velocities and bandgaps { Internal resonances and tunable bandgaps { Basic concept in topology and localized edge states  Part 2: Analysis techniques and 2D con gurations { The 2D dimensional spring mass lattice: directionality and wave focusing { Computation of dispersion: the transfer matrix method { Computation of dispersion: Finite Element techniques { Two dimensional continuous structural lattices { Examples of periodic beams and plates  Part 3: Metamaterials concept implementations { Passive internally resonating beams and plates for high damping and noise control { Internally resonating beams and plates with tunable electromechanical resonators { Edge states in lattices and plates for waveguiding { Quasi periodic beams and plates for vibration localization
ModalitÓ di esame:

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