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Biomechanics
At the State Engineering University of Armenia under the scientific direction of the Academician of People's Academy of Science of the Republic of Armenia U.L Sarkisyan . of the methodology of biomechanical research and optimal designing of mechanical facilities of orthodontic treatment have been worked up by us jointly with Senior lecturer M.G. Harutyunyan. We also got their calculation and mathematic models on the base of which the system of automated design of orthodontic devices can be created.
LUSTRATION OF CREATED METHODOLOGY
L Modeling of biomechanics of the parodont's response
at various regimens of work of the orthodontic device
at various regimens of work of the orthodontic device
Rotation of a tooth (twisting of a skeleton)
COMBINED WAY OF CASE SHIFT OF TOOTH
The scheme of biomechanical interaction of device with tooth, alveolar arch and muscles is presented in figure
Method of simultaneous sagittal shift of the lower jaw and bodily transversal movings of the maxillar lateral teeth
We examine biomechanical problem of dental arches positional transversal translocation by the combined way with
using the interaction between appliance and muscles.
On fig. represents the calculated scheme of interaction the frame with dental arch and lever of lip-pad.
Here: 1 and 2 -arches, 3 -frame, 4 - lip-pad, 5 -lever lip-pad.
O1 and O2 - reinforcement points the arches 1 and 2 the frame 3.
è - forces and moments of forces of activation wich are acting in the pointsO1 and O2 frame the arches 1 and 2 on the frame 3.
The expression (1 ) give us possibility to determine ranges of co-ordinates X1 and X2 changes,with know ranges of force-parameters changes.The expression (1) can be written in parameterly form.
OPTIMUM REGIME FOR STIMULATING THE GROWTH OF THE SUTURAL JUNCTION AND MAXILLA TO THE SKULL BONES
The article introduces the investigation of the morphology of the junction seams maxilla and zygoma with the skull bones that allows to make certain conclusions concerning the favorable regime of their growth stimulation.
It is proposed to consider the stimulation regime in two phases:
1. Accelerated cracking of the mean palatal seam that supposes minimal changes in the facial skeleton topology,
2. Forward shift of the upper jaw freed from the influence of the mean palatal seam with a fan - like extension.
The optimization algorithm and the conditions of the growth stimulation favorable regime of the seams are determined .
The optimization algorithm
1. The calculation scheme of the biological structure is made up.
2. Biomechanical rheological models for connecting the seams are proposed.
3. The biostatics equations are made up.
4. Kinematic equations according to the planned shift of the jaw parts and the facial skeleton are made up.
5. On the basis of the rheological model, the equations of the relative shifts in the seam connections and the internal force interaction are formed.
6. The whole system of the equations is solved.
7. The biomechanical voltages in the connections are calculated.
8. The most favorable conditions are registered, for example.
8. The most favorable conditions are registered, for example.
9. The
standards of the favorable regime of the seam connection growth
stimulation - the motion Kinematics are determined which in their turn
dictate the activating force.
1 - sutura palatina mediana,
2 - sutura sphenomaxillaris
3 - sutura zygomaticomaxillaris,
4 - sutura nasomaxillaris,
5 - sutura frontomaxilliaris,
6 -sutura ethmoidomaxillaris,
7- sutura frontozygomatica,
8 -sutura sphenozygomatiña,
9 -sutura temporozygomatiña