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Friedrich-Alexander-Universität Institute of Applied Mechanics
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    • Biomechanics
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of growth in soft biological matter
    • Contact mechanics
      • Material modelling of sheet-layered lamination stacks
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • C1: Constitutive friction law for the description and optimization of tailored surfaces
    • Material Mechanics
      • On the Formulation and the Micromechanical Origin of Non-Classical Models of Diffusion
      • Mehrskalenmodellierung und -simulation der Mechanik von Materialien mit Faserstruktur
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of growth in soft biological matter
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • A coupled MD-FE simulation method accounting for interphases in nanoparticle filled thermoplastics.
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Modelling and simulation of nonlinear electro-thermo-visco-elastic EAPs(Electronic Electro-Active Polymers)
      • Modeling and computation of solvent penetration in glassy polymers
      • Modeling and computation of growth in soft biological matter
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Kontinuumsmechanische Modellierung und Simulation der Aushärtung und Inelastizität von Polymeren sowie Interphasen in Klebverbunden
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
      • Electronic electro-active polymers under electric loading: Experiment, modeling and simulation
      • Material modelling of sheet-layered lamination stacks
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Material modelling of sheet-layered lamination stacks
      • On the Modelling and Computation of Magneto-Sensitive-Elastomers
      • Mehrskalenmodellierung und -simulation der Mechanik von Materialien mit Faserstruktur
    • Uncertainty Quantification
      • C3: Parameter and shape optimization in finite elastoplasticity
      • Fuzzy-arithmetical modeling of processes with uncertain prarameters
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
      • A hybrid Sampling-Stochastic-Finite-Element-Method for polymorphic, microstructural uncertainties in heterogeneous materials
    • Multiscale mechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • BRAIn mechaNIcs ACross Scales: Linking microstructure, mechanics and pathology
      • Teilprojekt P6 – Fracture in Thermoplastics: Discrete-to-Continuum
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Novel Biopolymer Hydrogels for Understanding Complex Soft Tissue Biomechanics
      • Mesoscopic modelling and simulation of properties of additively manufactured metallic parts (C5)
      • Teilprojekt P5 – Compressive Failure in Porous Materials
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Multi-scale, Multi-physics Modelling and Computation of magneto-sensitive POLYmeric materials
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Multi-scale modeling of nano-structured polymeric materials: from chemistry to materials performance
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Identifikation von Interphaseneigenschaften in Nanokompositen
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
      • Multiscale modeling of nervous tissue: comprehensively linking microstructure, pathology, and mechanics
      • Fractures across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics/ Skalenübergreifende Bruchvorgänge: Integration von Mechanik, Materialwissenschaften, Mathematik, Chemie und Physik
      • Bridging scales – from Quantum Mechanics to Continuum Mechanics. A Finite Element approach.
      • Teilprojekt P12 – Postdoctoral Project: Quantum-to-Continuum Model of Thermoset Fracture
      • Mikroskalige Charakterisierungsmethoden zur Kalibrierung von Stoffgesetzen für Biomaterialien und Kunststoffe
    • Process Simulation
      • Experimentell basierte Modellierung, Simulation und Kompensation thermischer Einflüsse beim Drehen mesoheterogener Werkstoffe aus Al-MMC.
      • Macroscopic modeling, simulation, and optimization of the selective beam melting process (C3)
      • Simulations- und versuchsbasierte Untersuchung der Wechselwirkung zwischen Zerspanprozess und Maschinenstruktur beim Hochleistungsflachschleifen
      • Experimentell basierte Modellierung, Simulation und Kompensation thermischer Einflüsse beim Drehen mesoheterogener Werkstoffe aus Al-MMC. Phase 2
    • Structural dynamics
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
      • Vibration reduction by energy transfer using shape adaption
      • Structural dynamics of rotating systems
      • Investigation and reduction of nonlinear oscillation systems using modal approaches
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
    • Optimization
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Structural optimization of shape and topology using an embedding domain discretization technique
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
      • Teilprojekt P11 – Fracture Control by Material Optimization
      • Adaptive finite elements based on sensitivities for topological mesh changes
      • Teilprojekt P8 – Fracture in Polymer Composites: Meso to Macro
      • Discrete and Continuous Methods for Modelling and Simulation of Polymeric Materials
      • Teilprojekt P10 – Configurational Fracture/Surface Mechanics
    • Other Projects
      • A numerical model of translational and rotational momentum transfer of small on-spherical rigid particles in fluid dominated two-phase flows
      • Fracture Across Scales and Materials, Processes and Disciplines
      • Fracture across Scales: Integrating Mechanics, Materials Science, Mathematics, Chemistry, and Physics (FRASCAL)
      • Numerical and experimental study of the deposition of micro-sized non-spherical solid particles in the nasal cavity
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structural dynamics

In page navigation: Institute of Applied Mechanics
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    • Biomechanics
    • Contact mechanics
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    • Multiscale mechanics
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    • structural dynamics
      • Structural dynamics of rotating systems
      • Vibration reduction by energy transfer using shape adaption
      • Reduced order modelling of non-linear gyroscopic systems in ALE formulation with frictional contact
      • Investigation and reduction of nonlinear oscillation systems using modal approaches
    • Optimization
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structural dynamics

The focus lies on the experimental and numerical investigation of vibrating structures with joints. Here, energy dissipation by microslip effects in the joints is the major source of damping, which is the main quantity of interest. However,the joints are local nonlinearities, which make the application of classical linear modal analysis prohibitive and nonlinear methods have to be used.

Projects:

Term: 1. January 2015 - 31. May 2020
Project leader: Kai Willner

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Term: 1. January 2016 - 31. December 2019
Funding source: DFG / Schwerpunktprogramm (SPP)
Project leader: Kai Willner

Lightweight design is one of the most important issues in engineering design. The objective is to reduce the mass of structural components for the purpose of saving costs, energy and resources in manufacturing and operation processes. However, the lighter the structure is, the more it is prone to unwanted vibrations. Such vibrations should be minimized in order to prevent the environment, products and human beings from being harmed and to maximize the lifetime of the products.Vibration reduction…

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Term: since 1. January 2015
Project leader: Kai Willner

Rotating systems are subject to gyroscopic effects, which influence the structure’s dynamics. The Arbitrary-Lagrangian-Eulerian formulation in the finite element method offers an efficient way to include translational and rotatory guiding movement in the model in the course of decoupling this motion from the FE mesh. At the same time this approach aggravates the computation of frictional contact of the rotating body with other still-standing structures.
This procedure stems from the…

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Term: since 1. September 2012
Project leader: Kai Willner

In this project nonlinear oscillating systems are investigated. The nonlinearity is caused by the effect of large deformations (geometrical nonlinearity) or by physical effects, like friction. A designated target is after a nonlinear modal analysis (for example on the basis of NNMs) a model reduction on the isolated nonlinear mode. Limitations for this approach are given by the nonlinear modal analysis.

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Contact Persons:

  • Kai Willner

Participating Scientists:

  • Kai Willner

Publications:

  • Süß D., Jerschl M., Willner K.:
    Adaptive harmonic balance analysis of dry friction damped systems
    34th IMAC, A Conference and Exposition on Structural Dynamics, 2016
    DOI: 10.1007/978-3-319-29739-2_36
  • Süß D., Jerschl M., Willner K.:
    Calculating the Dynamic Response of Jointed Structures in the Frequency Domain Using Contact Interface Elements
    In: Matthew R.W. Brake (ed.): The Mechanics of Jointed Structures, Cham: Springer, 2018, p. 491-510
    ISBN: 978-3-319-56818-8

    DOI: 10.1007/978-3-319-56818-8_27
  • Weidauer T., Willner K.:
    Model reduction of gyroscopic systems in ALE formulation with and without non-linearities
    GAMM 2018 (München, 19. March 2018 - 23. March 2018)
    In: PAMM, Volume 18, Weinheim: 2018
    DOI: 10.1002/pamm.201800216
  • Weidauer T., Willner K.:
    Numerical and experimental modal analysis of structures under gyroscopic influence in ALE formulation
    ISMA2018 (Leuven, Belgien, 17. September 2018 - 19. September 2018)
  • Weidauer T., Willner K.:
    Reduced Order Modelling for Non-Linear Rotating Systems in ALE Formulation with Contact
    IMAC 2018 (Orlando, FL, USA, 12. February 2018 - 15. February 2018)
    In: Gaetan Kerschen (ed.): Nonlinear Dynamics, Volume 1; Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018 2018
    DOI: 10.1007/978-3-319-74280-9_31
Institute of Applied Mechanics
Friedrich-Alexander-Universität Erlangen-Nürnberg

Egerlandstrasse 5
91058 Erlangen
Germany
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