Mechanics of VibrationsLaajuus (5 cr)

Objective

The students understand the connection between the state of motion of a body, its position, velocity, acceleration, time, and the strengths affecting the body. The students understand the concepts and phenomena of mechanics of vibrations, the theoretical models of different vibrations and the principles of avoiding harmful vibrations in machine building. The students recognize also the vibration systems of several degrees of freedom.

Content

Introduction and refresher lessons on dynamics. Parts of a vibrating system. Undamped and damped nominal vibration of one degree of freedom. Undamped and damped forced vibration of one degree of freedom. Motion equations of multiple degrees of freedom and undamped vibration.

Qualifications

The students master the basics of the derivative and integral calculus for real functions and they can also exploit their knowledge in applications. The students are familiar with the basic calculations with complex numbers and matrices. The students can solve separable first and second order linear differential equations. The students master the central concepts, contents and natural laws of kinematics and dynamics and they can apply them with help of mathematics. The students have the basic knowledge of the strength of materials and they are able to make static sizing of simple materials with the help of manuals and table cases. The students are able to form a mechanical model from a structure under study and they can solve the stresses, tensions and transformations affecting it.

Assessment criteria, satisfactory (1)

Very good (4-5): The student masters the essential knowledge and skills required to get the grade Good (3) and can apply the knowledge acquired in a critical and innovative manner when solving problems related to mechanics of vibration.
Good (3): The student masters the essential knowledge and skills and can apply them when solving problems related to mechanics of vibration. The student is able to create a motion equation of a simple vibration system and is also able to solve the equation in order to find the basic quantities of vibration.
Satisfactory (1-2): The student is familiar with the basic knowledge and terminology but can apply them only in a satisfactory manner.