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Updated: Jun 2, 2026

Parametric Optimization Design Method for Friction Plates of Hydro-Viscous Clutches
Published on: July 22, 2025
Multi-objective optimization of an energy-efficient diaphragm spring for clutch applications.
Denys Baranovskyi1, Anton Sergienko2, Pavel Kalinin3
1Faculty of Mechanics and Technology, Rzeszow University of Technology, 4 Kwiatkowskiego Street, 37-450, Stalowa Wola, Poland. d.baranovsky@prz.edu.pl.
This study introduces a deterministic framework for designing energy-efficient automotive diaphragm springs, achieving better performance and reduced material use. The method ensures reliable and efficient component design through advanced analysis and validation.
Area of Science:
- Mechanical Engineering
- Automotive Engineering
- Materials Science
Background:
- Diaphragm springs are critical components in automotive clutches, requiring efficient and reliable designs.
- Existing design methods may not fully address multi-objective optimization for energy efficiency and material reduction.
Purpose of the Study:
- To develop a deterministic multi-objective framework for the energy-efficient design of diaphragm springs.
- To enable optimal-rational design synthesis using the direct feasible-set approach and similarity theory.
Main Methods:
- A deterministic multi-objective framework based on the direct feasible-set approach and similarity theory.
- Adaptive constraint management for identifying rational configurations.
- Nonlinear finite element analysis (FEA) for mechanical validation.
- Experimental validation including cyclic loading and thermal analysis.
Main Results:
- Synthesized configurations show up to +22% increase in compressive force and -12% reduction in material volume.
- FEA confirms mechanical admissibility with localized stress and strain.
- Experimental validation demonstrates stable nonlinear behavior, minimal force variation over 5000 cycles, and moderate thermal rise.
- Hysteresis analysis reveals a 25% reduction in mechanical energy dissipation per cycle, enhancing energy efficiency.
Conclusions:
- The deterministic framework provides a transparent and computationally efficient methodology for energy-efficient diaphragm spring design.
- The approach is validated by strong agreement between analytical predictions, FEA, and experimental results.
- The methodology can be extended to other nonlinear elastic components in transmission systems.
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