A set of articles with illustrations and examples that explain the complex issues of modeling mechanical systems.



modeling mechanical systems

The task of the damping characteristics of elastic structures.
The damping properties of the design model are determined only by the parameters of the force elements, since the hinges are considered as ideal. The article deals with the damping of structures modeled in the EULER software complex by a set of solids connected by hinges and power elements.

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modeling mechanical systems

Determination of resonance frequencies in the spectrum.
This article discusses the problem of determining the resonance frequencies of the mechanical system in the spectrum and provides its solution in the software package EULER using white noise.

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modeling mechanical systems

Simulation of the ejection of the product from the pipe .
This article presents a demonstration example of modeling the ejection of the product from the pipe in the software complex EULER. The bending elasticity of the pipe and the product are taken into account. The values of the characteristics at the output of the product depending on the degree of detail of the pipe and product models, as well as other parameters of the model are given.

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modeling mechanical systems

Estimation of the reduced mass in the collision of bodies.
When modeling the impact of two bodies, it is necessary to set the characteristics of stiffness and damping of the contact interaction. For a linear system (Kelvin-Focht model) these are stiffness and damping (dissipation) coefficients. Setting the stiffness characteristic is usually not difficult. Setting the characteristics of contact damping is not always convenient. Methods of determination of the reduced mass of impacted bodies are considered.

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modeling mechanical systems

Setting functions of several variables.
When modeling, you often need to specify functions of three or more arguments. On the example of the longitudinal aerodynamic force acting on the aircraft, the question of specifying the Cx coefficient depending on the angle of attack (alfa), the Mach number (M) and the distance to the carrier aircraft is considered.

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modeling mechanical systems

Simulation of the rocket flight taking into account changes in mass.

The purpose of the presented examples is to show the main features of the simulation of the rocket dynamics taking into account the changes in its mass during the flight. The change in the mass of the rocket occurs due to fuel consumption during operation of the jet engine.

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modeling mechanical systems

Vibrations of mechanical systems.
This article presents some information from the theory of vibrations of mechanical systems, which can be useful in their modeling in the software complex EULER. Practical recommendations on the choice of dissipation characteristics in modeling are given.

Topics covered:
- free oscillations of a system with one degree of freedom and linear characteristics;
- logarithmic decrement and other characteristics of oscillations;
- damping of oscillations at different types of dissipative forces;
- forced oscillations of linear and nonlinear systems;
- natural oscillation frequencies of some mechanical systems.

 

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modeling mechanical systems

Modeling of support rollers.
Support rollers are used to perceive normal pressure and provide rolling friction between two links of the translational kinematic pair. Examples of several designs of support rollers operating in different modes are considered.

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modeling mechanical systems

Modeling of shock interactions.
The main principles of simulation of shock interactions and recommendations for their use in solving practical problems in the software complex of automated dynamic analysis of multi-component mechanical systems EULER. Some examples of modeling shock interactions in the EULER software complex are described.

 

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modeling mechanical systems

Simulation of the rocket launch in the EULER software package.

The purpose of this example is to show the main features of the rocket launch simulation taking into account aerodynamic forces, interference from the onboard split connection, fuel fluctuations in the tanks and the operation of the control system. Control (stabilization) of the rocket is carried out by turning the propulsion system.

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modeling mechanical systems

Modeling of extension/retraction of the landing gear of the aircraft in the software package EULER.

The basic principles of formation of models of aircraft landing gear in the software package (PC) EULER using standard structural elements. The models created can be used to simulate chassis release / harvesting and conduct other studies of the dynamic behavior of racks. Modeling of extension/retraction of the landing gear of the aircraft in the software package EULER.

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Latest news

Euler version 12.12

A new version of the software package has been released
EULER 12.12 
The demo version 12.12.03 of the software package is available at the link

DOWNLOAD the demo version of EULER


May, 2023

 
Версия Euler 12.12


Выпущена новая версия программного комплекса
EULER 12.12


Май, 2023

 
Update of the EULER software package - version 12 has been released

We continue to actively work on improving the EULER software package.

A big update of the software package - the 12th version of EULER has been released, in which the following important changes have been made:

  • a new computational core with significantly expanded capabilities has been developed;
  • increased calculation speed;
  • implicit integration methods are implemented, the use of which reduces the calculation time of rigid systems by orders of magnitude;
  • a number of user interface improvements have been made.
 
Euler version 11.14

A new version of the EULER 11.14 software package has been released

December, 2020