Abstract
Keywords: poly-articulat robot, fexible column, optimization
Every new or changed product that is designed should be built and tested at 1:1 scale. There two factors preventing this: time and cost. Modeling on scale takes time for execution and test delaying launching, and thus, reducing every advantage of the new product. In our more and more competitive world, time needed for design, development, test, fabrication and launching of a new product should be reduced to a minimum practical. This paper presents a mathematical model for the linear optimization of a flexible spinal column used to poly - articulated robots. The first step represented the replacement of the reality with a simplified (idealized) pattern in order to determine certain simplifying presumptions. We based our analyses on the premises that the reduction of the compression forces in columns reduces the risk of buckling and make easier to reduce the dimensions of the model. The structure uses three (secondary) super - elastic spinal columns connected only to the border disk and a central (primary) one attached rigidly to all disks, equidistant one to another. The optimization problem involved the determination of values of the variables, subject submitted to various functional and regional compulsions. The item that must be sent to minimum is the cost of the column that includes materials and manufacturing costs. The extremes for the satisfaction of equations have been graphically represented and as a result it was determined a feasibility area. The arguments for the simulation of the new models are clear. It is cheaper and faster than the physical building of a real system and it is better that design errors are found on model.