Table 3.

Detailed topics.

Title	No	Topic and content
SIOMMS 2011	1	Kinematic analysis of the 5-bar linkage with a curvilinear coulisse (method of velocity and acceleration diagrams), investigation of a time ratio.
	2	Kinematic analysis of a cam mechanism (geometrical method).
	3	The kinetic energy of the linkage link in a given particular position.
	4	Engagement of involute spur gear wheels (velocity of the slip of one tooth relative to the mating tooth at the phases of the beginning and end of engagement).
	5	Kinematical synthesis of the gearbox (selection of missing numbers of teeth, with the overall gear ratio given), finding the mechanism's actual DOF (mobility).
	6	Dynamics of the coulisse mechanism (setting up the differential equation of motion, balancing the coulisse's force of inertia).
	7	Dynamics of the press driven by an electric motor, and equipped with a flywheel.
	8	Investigation of the coulisse mechanism dynamics with the follower's equation of motion given.
SIOMMS 2013	1	Structural analysis of the linkage, including identification of local degrees of freedom, redundant constraints, and dismembering the mechanism into Assur kinematic chains.
	2	Kinematics of a plane four-bar coulisse mechanism (graphical and analytical solutions).
	3	For one pair of external involute spur gears determining shift coefficient provided the minimum center distance and no undercut.
	4	Kinematic synthesis of the slide-crank four-bar linkage based on three given positions by both graphical and analytical methods.
	5	Static balancing of a five-bar planar manipulator situated in a vertical plane.
	6	Kinematic investigation of a multi-link gear mechanism containing a planetary gear train and worm gear.
	7	For a given cam mechanism with a flat-face follower: pressure angle in a given position, diagram of the follower's displacement, finding an analytical expression for distance from the contact point between the follower and the cam to the centerline of the follower, an analytical expression for the cam profile.
	8	Reduction of forces and masses in the given mechanism, finding for the equivalent link ωmax, ωmin according to a given coefficient of fluctuation of angular speed, finding average power of the motor.
SIOMMS 2016	1 2 3	Analytical synthesis of an off-center crank-slide mechanism using the Freudenstein's equation. For a steady-state operation of the machine unit, the determination of the average speed of rotation and the coefficient of speed fluctuation on the base of the Wittenbauer diagram. The number of teeth and gear ratio in the epicyclic gearbox.
	4	Kinematic analysis of a coplanar six-bar mechanism (geometric method, velocity & acceleration diagrams).
SIOMMS 2018	5 1 2	For the involute gearing of three spur wheels calculation of working pressure angle, radial clearance, and contact ratio. Cases of wheels manufactured without and with the displacement of the cutting rack are both considered.  Kinematic analysis of a coplanar six-bar coulisse mechanism (instant centers of velocity; graphical solution for acceleration on the base of Goodman's analysis for kinematic inversion). Application of virtual displacement principle for finding input moment. Synthesis of four-bar linkage of the function generation type by kinematic inversion and Chebychev spacing.
	3 4 5	Balancing of a four-mass system rotating in a single plane. Turning moment diagram for a four-stroke engine, fluctuation of speed. Finding ωmax, ωmin, constant moment of resistance, and moment of inertia of a flywheel. Compound gear train: determining tooth numbers. Epicyclic gear train: finding the transmission ratio.