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Estimating the state of a dynamical system from a series of noise-corrupted observations is fundamental in many areas of science and engineering. The most well-known method, the Kalman smoother (and the related Kalman filter), relies on…

Machine Learning · Statistics 2017-04-24 Luca Ambrogioni , Umut Güçlü , Eric Maris , Marcel van Gerven

Vibrations of damaged bearings are manifested as modulations in the amplitude of the generated vibration signal, making envelope analysis an effective approach for discriminating between healthy and abnormal vibration patterns. Motivated by…

Signal Processing · Electrical Eng. & Systems 2024-05-16 Sulaiman Aburakhia , Ismail Hamieh , Abdallah Shami

Minimally invasive experimental methods that can measure local rate dependent mechanical properties are essential in understanding the behaviour of soft and biological materials in a wide range of applications. Needle based measurement…

Soft Condensed Matter · Physics 2020-10-20 S Chockalingam , Christine Roth , Thomas Henzel , Tal Cohen

We propose an empirical method for identifying low damped modes and corresponding mode shapes using frequency measurements from a Wide Area Monitoring System. The method consists of two main steps: Firstly, Complex Principal Component…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hallvar Haugdal , Kjetil Uhlen

Predicting the forced vibration response of nonlinear mechanical systems with friction is critical for engineering applications. Accurately determining the backbone curve of resonance peaks is pivotal for the design of friction devices.…

Classical Physics · Physics 2026-02-03 Wei Wen , Wenkai Qi , Weidong Wen

Nonlinear systems play a significant role in numerous scientific and engineering disciplines, and comprehending their behavior is crucial for the development of effective control and prediction strategies. This paper introduces a novel…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Kaushal Kumar

We introduce a \textit{non-modal} analysis technique that characterizes the diffusion properties of spectral element methods for linear convection-diffusion systems. While strictly speaking only valid for linear problems, the analysis is…

Computational Physics · Physics 2019-01-30 Pablo Fernandez , Rodrigo Moura , Gianmarco Mengaldo , Jaime Peraire

A MEMS based tribometer has been developed that can be read out with nanometer and nano-Newton resolution, approaching the resolution and sensitivity of a friction force microscope (FFM). It can be used to study friction of MEMS device…

This paper concerns the experimental validation of some mathematical models previously developed by the authors, to predict the static behaviour of microelectrostatic actuators, basically free-clamped microbeams. This layout is currently…

Other Computer Science · Computer Science 2008-02-22 A. Ballestra , E. Brusa , M. G. Munteanu , A. Soma

Euler-Bernoulli beam theory is widely used to successfully predict the linear dynamics of micro- and nano-cantilever beams. However, its capacity to characterize the nonlinear dynamics of these devices has not yet been rigorously assessed,…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 L. G. Villanueva , R. B. Karabalin , M. H. Matheny , D. Chi , J. E. Sader , M. L. Roukes

The flow-induced flutter has a significant role in aircraft stability, renewable energy extraction, animal locomotion, among many other applications. While being a ubiquitous phenomenon, the control of the flutter response has been…

Fluid Dynamics · Physics 2022-01-26 Tso-Kang Wang , Kourosh Shoele

Experiments with acoustic waves guided along the mechanically free surface of an unconsolidated granular packed structure provide information on the elasticity of granular media at very low pressures that are naturally controlled by the…

In the present study, the authors introduce a geometrically improved model inspired by the mammalian basilar membrane's properties and special vibratory behavior while conducting a parametric investigation. The goal of this model is to…

Dynamical Systems · Mathematics 2024-12-18 Amirhossein Omidi Soroor , Pablo A. Tarazaga

Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design…

For a model nonlinear dynamical system, we show how one may obtain its bifurcation behavior by introducing noise into the dynamics and then studying the resulting Langevin dynamics in the weak-noise limit. A suitable quantity to capture the…

Adaptation and Self-Organizing Systems · Physics 2019-02-06 Debraj Das , Sayan Roy , Shamik Gupta

Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived…

Fluid Dynamics · Physics 2007-05-23 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammd Taeibi-Rahni

Human joint dynamic stiffness plays an important role in the stability of performance augmentation exoskeletons. In this paper, we consider a new frequency domain model of the human joint dynamics which features a complex value stiffness.…

Robotics · Computer Science 2020-05-04 Binghan He , Huang Huang , Gray C. Thomas , Luis Sentis

The sliding friction of a dimer moving over a periodic substrate and subjected to an external force is studied in the steady state for arbitrary temperatures within a one-dimensional model. Nonlinear phenomena that emerge include dynamic…

Materials Science · Physics 2009-11-11 S. Goncalves , C. Fusco , A. Bishop , V. M. Kenkre

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

Fluid Dynamics · Physics 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelectric motors. A two degree-of-freedom dynamic model with one…

Chaotic Dynamics · Physics 2017-04-05 Weiting Liu , Maoying Zhou , Xiaodong Ruan , Xin Fu