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In this work, we present the integrated structure-control design of a 2-DOF underactuated mechanical system, aiming to achieve a periodic motion of the end-effector. The desired behavior is generated via input-output linearization, followed…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Andrea Tilli , Alessandro Bosso , Elena Ruggiano , Alessandro Samorì

A model for harmonic oscillator damping due to the internal friction of solids has been developed, based on considerations of a long period pendulum. The assumption of a complex elastic modulus to describe stress-strain hysteresis in the…

Classical Physics · Physics 2007-05-23 Randall D. Peters

The light damping hypothesis is usually assumed in structural dynamics since dissipative forces are in general weak with respect to inertial and elastic forces. In this paper a novel numerical method of time integration based on the…

Numerical Analysis · Mathematics 2025-04-01 Mario Lázaro

The paper studies the vibrational modes of a slightly damped uniform chain, with n masses coupled by elastic forces. It will be shown that, for certain lengths of the chain, that is for certain values of n, the damping of one of the masses…

Classical Physics · Physics 2010-06-10 S. Giurdanella , A. C. Sparavigna

We study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensile stress as a function of geometry and mode index m <= 9. Reproducing all observed resonance frequencies with classical elastic theory we…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Quirin P. Unterreithmeier , Thomas Faust , Jorg P. Kotthaus

The design space of dynamic multibody systems (MBSs), particularly those with flexible components, is considerably large. Consequently, having a means to efficiently explore this space and find the optimum solution within a feasible…

Optimization and Control · Mathematics 2025-01-08 Mehran Ebrahimi , Adrian Butscher , Hyunmin Cheong , Francesco Iorio

Mechanical interactions between rigid rings and flexible cables find broad application in both daily life (hanging clothes) and engineering systems (closing a tether-net). A reduced-order method for the dynamic analysis of sliding rings on…

Graphics · Computer Science 2024-05-21 Weicheng Huang , Peifei Xu , Zhaowei Liu

Large optimal transport problems can be approached via domain decomposition, i.e. by iteratively solving small partial problems independently and in parallel. Convergence to the global minimizers under suitable assumptions has been shown in…

Optimization and Control · Mathematics 2021-06-16 Mauro Bonafini , Ismael Medina , Bernhard Schmitzer

Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust…

Optimization and Control · Mathematics 2025-04-08 Peter Gangl , Theodor Komann , Nepomuk Krenn , Stefan Ulbrich

Gradient Descent Ascent (GDA) methods for min-max optimization problems typically produce oscillatory behavior that can lead to instability, e.g., in bilinear settings. To address this problem, we introduce a dissipation term into the GDA…

Optimization and Control · Mathematics 2024-03-15 Tianqi Zheng , Nicolas Loizou , Pengcheng You , Enrique Mallada

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

Optimization and Control · Mathematics 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

This letter is devoted to the concept of ``instant'' model predictive control (iMPC) for linear systems. An optimization problem is formulated to express the finite-time constrained optimal regulation control, like conventional MPC. Then,…

Systems and Control · Computer Science 2020-03-11 Keisuke Yoshida , Masaki Inoue , Takeshi Hatanaka

Numerical solutions for the optimal feedback stabilization of discrete time dynamical systems is the focus of this paper. Set-theoretic notion of almost everywhere stability introduced by the Lyapunov measure, weaker than conventional…

Optimization and Control · Mathematics 2017-02-20 Arvind Raghunathan , Umesh Vaidya

Structural optimization of non-conservative systems with respect to stability criteria is a research area with important applications in fluid-structure interactions, friction-induced instabilities, and civil engineering. In contrast to…

Optimization and Control · Mathematics 2011-09-08 Oleg N. Kirillov

Multi-objective optimisation of damper placement in dynamically symmetric adjacent buildings is considered with identical viscoelastic dampers used for vibration control. First, exhaustive search is used to describe the solution space in…

Computational Engineering, Finance, and Science · Computer Science 2020-01-13 Mahesh B. Patil , Ramakrishna U. , Mohan S. C

The aim of this work is two-fold: to design devices for passive electric damping of structural vibrations by distributed piezoelectric transducers and electric networks, and to experimentally validate the effectiveness of such a damping…

Mathematical Physics · Physics 2010-07-13 F. dell'Isola , C. Maurini , M. Porfiri

We investigate the feature compression of high-dimensional ridge regression using the optimal subsampling technique. Specifically, based on the basic framework of random sampling algorithm on feature for ridge regression and the A-optimal…

Computation · Statistics 2022-04-19 Hanyu Li , Chengmei Niu

We propose a control approach for a class of nonlinear mechanical systems to stabilize the system under study while ensuring that the oscillations of the transient response are reduced. The approach is twofold: (i) we apply our technique…

Systems and Control · Electrical Eng. & Systems 2022-06-22 Carmen Chan-Zheng , Pablo Borja , Jacquelien Scherpen

Granular damping devices constitute an emerging technology for the attenuation of vibrations based on the dissipative nature of particle collisions. We show that the performance of such devices is independent of the material properties of…

Soft Condensed Matter · Physics 2012-07-10 Martín Sánchez , Gustavo Rosenthal , Luis A. Pugnaloni

We present a novel second-order trajectory optimization algorithm based on Stein Variational Newton's Method and Maximum Entropy Differential Dynamic Programming. The proposed algorithm, called Stein Variational Differential Dynamic…

Optimization and Control · Mathematics 2024-10-10 Yuichiro Aoyama , Peter Lehmamnn , Evangelos A. Theodorou