### Machine Dynamics of Rigid Systems

The course Machine Dynamics of Rigid Systems deals with the research of the causes and effects of periodical forces and torques in machines. The mathematical formulation of dynamic problems is used to describe the appearing phenomena and aims at minimizing or avoiding the undesired effects.

#### 1. Mass-Balancing

Calculation of forces and moments due to non-uniform moving masses for mechanisms with varying velocity ratio, especially for reciprocating piston machines with one or more cylinders as for example machines with cylinders in line, V-type or flat-type machines. Strain on links, joints and frames of mechanisms. Natural, full and partial balancing of forces and moments due to non-uniform moving by attaching counterweights or additional linkage.

#### 2. Dynamic Force and Motion Analysis of Plane Mechanisms with Rigid Links

2.1 Basic Principles and Plane Motion of Rigid Bodies

2.2 Dynamic Force Analysis

2.3 Dynamic Motion Analysis

2.4 Dynamics of Slider-Crank Mechanism

2.5 Dynamics of Mechanisms Considering Link Elasticity

#### 3. Balancing of Inertial Forces and Moments

3.1 Single Slider Reciprocating Machines

3.2 Multi Slider Reciprocating Machines (In-Line Configuration)

3.3 Multi Slider Reciprocating Machines (V and Radial Configuration)

3.4 Balancing of Planar Linkages

#### 4. Power-Balancing

4.1 Generation and solution of the equations of motion for mechanisms with varying velocity ratio and rigid links, especially for reciprocating piston machines

4.2 Calculating the required driving torque for a given function of the main shaft's angular velocity

4.3 Calculation of the main shaft's angular velocity for given external forces and torques

4.4 Degree of uniformity

4.5 Calculation of flywheels.

#### 5. Power Smoothening in Machines

5.1 Introduction

5.2 Equations of Motion

5.3 Solution of Equation of Motion

5.4 Fluctuation of Angular Velocity

### CONTACT

Institute of Mechanism Theory, Machine Dynamics and Robotics

RWTH Aachen University

Eilfschornsteinstraße 18

52062 Aachen

Germany

Phone: +49 241 80 95546

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