PHYSICS-APPLICATION SCREW
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APM SCREWSModule for calculating non-ideal screw gears
Module for calculating non-ideal screw gears
SCREW
Screw drives are used to convert the rotational motion of a screw into the translational motion of a nut. Mechanisms of this type are widely used in machine tool building, robotics, drive mechanisms, aviation technology and other areas of modern machine and instrument making.
When designing these objects, many problems arise, the solution of which is possible with the help of the automated calculation and design module for screw gears APM Screw.
APM Screw is the original program for the calculation of screw gears. It allows you to conduct a comprehensive analysis of these gears, as well as choose their optimal geometric dimensions.
Gear types
With APM Screw, the most common types of screw drives can be calculated, such as:
- screw gear sliding;
- ball screw (one nut and two preloaded half nuts);
- planetary screw (roller screw) transmission.
Features APM Screw module
APM Screw allows, taking into account manufacturing errors, to calculate the following parameters:
- displacement (rigidity);
- durability;
- moment of friction;
- the highest contact stresses;
- power loss;
- heat dissipation;
- forces acting on the rolling elements;
- efficiency;
- positioning errors.
Features APM Screw module
APM Screw allows, taking into account manufacturing errors, to calculate the following parameters:
- displacement (rigidity);
- durability;
- moment of friction;
- the highest contact stresses;
- power loss;
- heat dissipation;
- forces acting on the rolling elements;
- efficiency;
- positioning errors.
APM Screw is based on the non-ideal contact theory
The main advantage of the APM Screw module is that with its help at the design stage it is possible to take into account the influence of manufacturing errors on the parameters of the screw drive. This became possible thanks to the new theory of non-ideal contact, developed at the STC APM and having no analogues in the world. It is applicable to a wide range of machine elements, such as rolling bearings, screw gears, flat joints, rolling and sliding guides, etc.
Due to the presence of roughness and shape errors in the contact surfaces, the interaction of the screw, nut and rolling elements is random and can only be correctly described using probabilistic methods. The use of APM Screw provides the user with a complete and comprehensive picture of the processes that occur during the operation of a screw drive. In fact, the Screw module allows you to simulate the behavior of a screw drive under given conditions.
The developed modeling methods are based on the analysis of the contact interaction of bodies and raceways in the form of contact forces. The values of these forces depend on the processing errors of the elements involved in the contact and their relative location. The solution in this formulation makes it possible to obtain output parameters in the form of not only average values, but also scattering values.
APM Screw is based on the non-ideal contact theory
The main advantage of the APM Screw module is that with its help at the design stage it is possible to take into account the influence of manufacturing errors on the parameters of the screw drive. This became possible thanks to the new theory of non-ideal contact, developed at the STC APM and having no analogues in the world. It is applicable to a wide range of machine elements, such as rolling bearings, screw gears, flat joints, rolling and sliding guides, etc.
Due to the presence of roughness and shape errors in the contact surfaces, the interaction of the screw, nut and rolling elements is random and can only be correctly described using probabilistic methods. The use of APM Screw provides the user with a complete and comprehensive picture of the processes that occur during the operation of a screw drive. In fact, the Screw module allows you to simulate the behavior of a screw drive under given conditions.
The developed modeling methods are based on the analysis of the contact interaction of bodies and raceways in the form of contact forces. The values of these forces depend on the processing errors of the elements involved in the contact and their relative location. The solution in this formulation makes it possible to obtain output parameters in the form of not only average values, but also scattering values.
Features of the APM Screw module
APM Screw allows, taking into account manufacturing errors, to calculate the following parameters:
- displacement (rigidity);
- durability;
- moment of friction;
- the highest contact stresses;
- power loss;
- heat dissipation;
- forces acting on the rolling elements;
- efficiency;
- positioning errors.
Features of the APM Screw module
APM Screw allows, taking into account manufacturing errors, to calculate the following parameters:
- displacement (rigidity);
- durability;
- moment of friction;
- the highest contact stresses;
- power loss;
- heat dissipation;
- forces acting on the rolling elements;
- efficiency;
- positioning errors.
Calculations can be made for any combination of external loads, namely axial and radial forces and bending moment, as well as axial and radial preload, allowed for the type of screw drive under consideration. When determining the durability, not only constant, but also time-variable external force factors can be taken into account.
To carry out calculations, it is necessary to know only the tolerance values, which allows using the APM Screw at the design stage of new equipment. By performing a series of calculations, it is possible to choose the rational dimensions of the transmission and the value of the optimal preload.
Calculations can be made for any combination of external loads, namely axial and radial forces and bending moment, as well as axial and radial preload, allowed for the type of screw drive under consideration. When determining the durability, not only constant, but also time-variable external force factors can be taken into account.
To carry out calculations, it is necessary to know only the tolerance values, which allows using the APM Screw at the design stage of new equipment. By performing a series of calculations, it is possible to choose the rational dimensions of the transmission and the value of the optimal preload.
The results of the calculation are presented in various ways, namely in the form:
- tables with statistical characteristics;
- histograms of displacement components;
- spatial field of positions of the center of the nut.
Appropriate forms of presentation make it possible to obtain a comprehensive description of the movement of the helical gear.
The results of the calculation are presented in various ways, namely in the form:
- tables with statistical characteristics;
- histograms of displacement components;
- spatial field of positions of the center of the nut.
Appropriate forms of presentation make it possible to obtain a comprehensive description of the movement of the helical gear.