# Design of Electromagnetic Control of the Needle Gripping Mechanism

^{*}

## Abstract

**:**

## 1. Introduction

## 2. The Current Method of Gripping the Needle

## 3. Design of a New System

#### 3.1. Requirements for a New Mechanism

#### 3.2. Winding Dimensioning

_{s}, heat conduction coefficient α, and finally the temperature difference between the operating temperature and the environment ϑ

_{m}.

_{C}and current I flowing through the coil at a given voltage. Other values that need to be selected are related to the design of the electromagnet itself, especially the air gap between the components.

#### 3.3. Simulation of the Attractive Force of an Electromagnet

^{−8}.

#### 3.4. Coil Electrical Circuit Design

_{1}and C

_{2}can be calculated and substituted into the solution:

_{ref}, a faster charge will occur in time t

_{n}

_{2}than at a nominal voltage t

_{n}

_{1}. The situation is the same for discharging, only due to the initial conditions, it is necessary to move the discharge at higher voltages along the horizontal axis so that at time t = 0, the current value is equal to the static value of the coil current. The graph also plots the values of sufficient approximation to the current asymptote, one for charging and the other for discharging the coil.

## 4. Discussion

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 10.**Graphical representation of the dependence of the coil and armature weights on the dimensional ratios.

**Figure 13.**Simulation of the attractive force of an electromagnet: (

**a**) mathematical model with created simulation network; (

**b**) simulation result with shown magnetic flux lines and magnetic field intensity.

Parameter | Symbol | Value |
---|---|---|

Attractive force at maximum stroke | F | 6 N |

Air gab at maximum stroke | $\delta $ | 2 mm |

Coil voltage | U | 3 V |

Coil winding factor | ξ | 0.7 |

Magnetic circuit saturation factor | ${k}_{s}$ | 1.3 |

Flux increase factor | ν | $1.41\times {10}^{-5}$ |

Magnetic flux deflection factor | ε | 1 |

Length ratio to armature diameter | λ | 2 |

Ratio of winding thickness to armature diameter | β | 0.4 |

Parameter | Symbol | Value |
---|---|---|

Armature diameter | d | 12 mm |

Coil diameter | D | 25.6 mm |

Coil length | L | 28.8 mm |

Coil conductor diameter | ${d}_{C}$ | 0.6 mm |

Magnetic induction in the centre of the coil | B | 0.36 T |

Number of turns of coil | N | 400 |

Static current | I | 1.9 A |

Parameter | Symbol | Value |
---|---|---|

Air gap | $\delta $ | 0–2 mm |

Internal air gap 1 | $\Delta 1$ | 1 mm |

Internal air gap 2 | $\Delta 2$ | 0.1 mm |

Internal air gap 3 | $\Delta 3$ | 0.1 mm |

External air gap | $\Delta 4$ | 0.1 mm |

Shaft radius | rk | 2 mm |

Armature radius | r1 | 6 mm |

Coil inside radius | Rin | 8 mm |

Coil outside radius | R | 12.8 mm |

Skeletal thickness radial | tk | 1 mm |

Skeletal thickness axial | tb | 1 mm |

Coil length | L | 28.8 mm |

Housing thickness 1 | a1 | 7 mm |

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**MDPI and ACS Style**

Komárek, J.; Klogner, V. Design of Electromagnetic Control of the Needle Gripping Mechanism. *Machines* **2022**, *10*, 309.
https://doi.org/10.3390/machines10050309

**AMA Style**

Komárek J, Klogner V. Design of Electromagnetic Control of the Needle Gripping Mechanism. *Machines*. 2022; 10(5):309.
https://doi.org/10.3390/machines10050309

**Chicago/Turabian Style**

Komárek, Jiří, and Vojtěch Klogner. 2022. "Design of Electromagnetic Control of the Needle Gripping Mechanism" *Machines* 10, no. 5: 309.
https://doi.org/10.3390/machines10050309