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Dynamical Modelling of Movement
Laurence Cheze

Seat Ingegneria
A.A. 2015/2016
Credits 9
Hours 72
Period I
Language ENG

Prerequisites
NONE

Learning outcomes
Aim of the course is the analysis of the dynamics of systems consisting in articulated rigid bodies, and its use in human movement biomechanics. In particular, focus is on the inertial body parameters estimations, and on the computation of joint moments using an inverse dynamics approach.

Program
Objectives : Within this course, we will first be interested in the dynamics of a material point, explaining the Newton’s laws and energetic concepts. Then we will develop the dynamics of systems consisting in articulated rigid bodies, describing the specificities of these concepts in biomechanics, i.e. when human movement is analyzed. In particular, we will focus on inertial body parameters estimations and computation of joint moments using an inverse dynamics approach. Advanced modelling of movement will also be introduced : Lagrange’s equation and musculoskeletal modelling. I. Dynamics of a material point II. Work, kinetic energy, kinetic moment and related theorems III. Kinetics of a rigid body IV. Rigid multi-body dynamics V. Lagrange’s equations of motion a. Generalized coordinates and kinematical constraints b. Generalized forces and virtual work c. Lagrange’s equations of motion VI. Musculoskeletal modelling a. Musculo-skeletal models i. Muscle contraction dynamics model ii. Muscle-tendon dynamics model iii. Skeletal dynamics model b. Prediction of mucle-tendon and joint reaction forces i. Static optimization ii. EMG to force iii. Forward dynamics assisted data tracking The course notes will be available for students in PDF format. New concepts will be regularly applied on exercises, mostly related to human movement..

Development of the examination
LEARNING EVALUATION METHODS
The assessment of student learning consists of two written tests, one approximately at mid course, and the other one at the end. Each of the test will consisting in the solution of one problem or several short exercises on topics covered in the course, to be completed in 90 or 120 minutes, depending on the type of exercise;

LEARNING EVALUATION CRITERIA
To successfully pass the examination, the student must demonstrate, through his/her answers to the tests, that he/she has fully understood the concepts presented in the course and is able to apply them.

LEARNING MEASUREMENT CRITERIA
For each of the tests specified before it is assigned a score between zero and thirty. The overall grade, is the average of the scores obtained in the two tests, with rounding to the entire excess.

FINAL MARK ALLOCATION CRITERIA
Because the overall outcome of the evaluation is positive, the student must achieve at least the sufficiency, equal to 18/30, in each of the tests described above. The highest rating is achieved by demonstrating a thorough understanding of the course content in the tests. Laudem is given to students who, having done all the tests so correctly, have demonstrated a particular brilliance in their answers of both written tests.

Recommended reading
Vladimir M. Zatsiorsky:“Kinetics of human motion”, Human Kinetics (2002) Aydin Tozeren,“Human body dynamics : Classical mechanics and human movement” Springer (2000) Arthur Chapman, “Biomechanical analysis of fundamental human movements” Human Kinetics (

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