Reduced Order Modeling of Nonlinear Structures with Frictional Interfaces

Brake, Matthew Robert; Groß, Johann; Lacayo, Robert M.; Salles, Loïc; Schwingshackl, Christoph W.; Reuß, Pascal; Armand, Jason

doi:10.1007/978-3-319-56818-8_24

Cited by 9 publications

(17 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The relative error is evaluated for the periodic regime as shown in Eqn. (19) for three different rotating velocities.…”

Section: Numerical Applicationmentioning

confidence: 99%

“…A finite element formulation of the rotating problem is presented in [14] and the necessity to develop 3D finite element models for the study of rotordynamics is highlighted in [15]. In the mechanics of jointed structures the use of component mode synthesis [16,17] is widely applied to implement Iwan hysteresis [18,19] contact models. Petrov [20] proposed an analytical formulation for the vectors of contact forces and the stiffness matrix of the nonlinear friction contact interface for the analysis of multi-harmonic vibrations in the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

Balmaseda

Jacquet‐Richardet

Placzek

et al. 2020

Journal of Engineering for Gas Turbines and Power

View full text Add to dashboard Cite

In this work, reduced order models (ROM) that are independent from the full order finite element models (FOM) considering geometrical nonlinearities are developed and applied to the dynamic study of a fan. The structure is considered to present nonlinear vibrations around the prestressed equilibrium induced by rotation enhancing the classical linearized approach. The reduced nonlinear forces are represented by a polynomial expansion obtained by the stiffness evaluation procedure (STEP) and then corrected by means of a proper orthogonal decomposition (POD) that filters the full order nonlinear forces (StepC ROM). The linear normal modes (LNM) and Craig-Bampton (C-B) type reduced basis are considered here. The latter are parameterized with respect to the rotating velocity. The periodic solutions obtained with the StepC ROM are in good agreement with the solutions of the FOM and are more accurate than the linearized ROM solutions and the STEP ROM. The proposed StepC ROM provides the best compromise between accuracy and time consumption of the ROM.

show abstract

“…The relative error is evaluated for the periodic regime as shown in Eqn. (19) for three different rotating velocities.…”

Section: Numerical Applicationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

Balmaseda

Jacquet‐Richardet

Placzek

et al. 2020

Journal of Engineering for Gas Turbines and Power

View full text Add to dashboard Cite

show abstract

“…The assembly of single components into a more complex structure always leads to the presence of mechanical joints. Most of mechanical joints are realized through friction interfaces, which are often regarded as the main source of non-conservative nonlinearities in an assembled [6]. Other types of nonlinearities can exist such as geometric nonlinearities, material nonlinearities and aerodynamic forces, but they still remain less important than friction joints, especially for the applications to turbo-machinery [1].…”

Section: Introductionmentioning

confidence: 99%

“…The contact friction can result in a significant reduction in the global stiffness of the whole structure through the relative motion on the joint interface, which also introduces amplitude-dependent damping [11,16,19,28]. For an accurate prediction of the dynamic behavior of the assembly, the dynamics of the joint of interest must be captured accurately [6]. In spite of the advance in com-putational capability, these inherent nonlinearities are often ignored or linearized in the simulation because of the large computational expense and numerical instability problems [35].…”

Section: Introductionmentioning

confidence: 99%

On an improved adaptive reduced-order model for the computation of steady-state vibrations in large-scale non-conservative systems with friction joints

et al. 2020

View full text Add to dashboard Cite

Joints are commonly used in many largescale engineering systems to ease assembly, and ensure structural integrity and effective load transmission. Most joints are designed around friction interfaces, which can transmit large static forces, but tend to introduce stick-slip transition during vibrations, leading to a nonlinear dynamic system. Tools for the complex numerical prediction of such nonlinear systems are available today, but their use for large-scale applications is regularly prevented by high computational cost. To address this issue, a novel adaptive reduced-order model (ROM) has recently been developed, significantly decreasing the computational time for such high fidelity simulations. Although highly effective, significant improvements to the proposed approach is presented and demonstrated in this paper, further increasing the efficiency of the ROM. An energy-based error estimator was developed and integrated into the nonlinear spectral analysis, leading to a significantly higher computational speed by removing insignificant static modes from the stuck contact nodes in the original reduced basis, and improving the computational accuracy by eliminating numerical noise. The effectiveness of the new approach was shown on an industrial

show abstract

“…In industry, increasing the preloading can inhibit the "jump" phenomenon because it makes contact surface harder to seperate. Commonly, the nonlinearities of such rotors are neglected or linearized in the industrial applications for the large scale system [11] and there are few researches on the nonlinear vibration characteristics of rod-fastened rotors. Most of the previous researches use the stiffness hardening model, that is, the overall stiffness of bolt increases with the increase of the bending moment.…”

Section: Introductionmentioning

confidence: 99%

The Nonlinear Dynamics of a Rod-fastened Rotor

Da¹,

Yuan²,

Li³

et al. 2019

Proceedings of Global Power &Amp; Propulsion Society

View full text Add to dashboard Cite

Nonlinear bending stiffness of a rod-fastened rotor varies with applied loads posing a significant influence on the dynamic behavior. In this paper, the cubic model is adopted to perform an analysis of the nonlinear dynamic characteristics of a rod-fastend rotor: Firstly, the bending stiffness of a rod-fastened rotor involving two separate disks is obtained making use of the 3D FEM model. Then, a cubic stiffness model is applied to approximate the nonlinear stiffness and subsequently the corresponding governing equation can be derived. The harmonic balance method(HBM) as well as an iterative optimization method based on Broyden algorithm are adopted to yield the steady state response. Finally, influences of different parameters on rotor dynamics are further investigated in this manuscript. The results show that the cubic model can be used to demonstrate the amplitude jump behavior of the rod-fastened rotor and has an abundant nonlinear behavior. Furthermore, by adjusting the nonlinear system parameters, the position of the unstable region in the amplitude-frequency response curve can be changed, thereby effectively preventing the rotor system from operating in an unstable frequency region.

show abstract

Reduced Order Modeling of Nonlinear Structures with Frictional Interfaces

Cited by 9 publications

References 14 publications

Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

Reduced Order Models for Nonlinear Dynamic Analysis With Application to a Fan Blade

On an improved adaptive reduced-order model for the computation of steady-state vibrations in large-scale non-conservative systems with friction joints

The Nonlinear Dynamics of a Rod-fastened Rotor

Contact Info

Product

Resources

About