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This paper presents a mechanically bistable mechanism of the compressed pre-curved beam. A governing equation is proposed which can be used to predict and explain the bistability of the compressed pre-curved beam. FE simulations and…

应用物理 · 物理学 2022-11-02 Fan Liu , Zian Jia , Xihang Jiang , Lifeng Wang

This paper provides a method for the simultaneous topology optimization of parts and their corresponding joint locations in an assembly. Therein, the joint locations are not discrete and predefined, but continuously movable. The underlying…

计算工程、金融与科学 · 计算机科学 2020-09-14 Olaf Ambrozkiewicz , Benedikt Kriegesmann

We consider the control problem where, given an orthonormal tangent frame in the hyperbolic plane or three dimensional hyperbolic space, one is allowed to transport the frame a fixed distance $r > 0$ along the geodesic in direction of the…

几何拓扑 · 数学 2020-09-08 Ernesto Garcia , Pablo Lessa

This paper addresses the analysis of a boundary feedback system involving a non-homogeneous Euler-Bernoulli beam governed by the equation $m(x)u_{tt}+\mu(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the initial $u(x,0)=u_0(x)$,…

最优化与控制 · 数学 2023-07-06 Alemdar Hasanov

This paper develops a control and estimation design for the one-phase Stefan problem. The Stefan problem represents a liquid-solid phase transition as time evolution of a temperature profile in a liquid-solid material and its moving…

最优化与控制 · 数学 2017-03-20 Shumon Koga , Mamadou Diagne , Miroslav Krstic

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

机器人学 · 计算机科学 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

The main objective of this study is to propose a methodology to build a parametric linear model of Flexible Multibody Systems for control design. This approach uses a combined Finite Element - State Space Approach based on component modes…

系统与控制 · 计算机科学 2016-08-11 Jose Alvaro Perez , Daniel Alazard , Thomas Loquen , Christelle Pittet , Christelle Cumer

This paper presents an alternative way to the dynamic modeling of a rotational inverted pendulum using the classic mechanics known as Euler-Lagrange allows to find motion equations that describe our model. It also has a design of the basic…

混沌动力学 · 物理学 2017-04-11 J. L. Duarte , B. Montero , P. A. Ospina-Henao , E. Gonzalez

Safe and efficient motion planning is of fundamental importance for autonomous vehicles. This paper investigates motion planning based on nonlinear model predictive control (NMPC) over a neural network vehicle model. We aim to overcome the…

机器人学 · 计算机科学 2025-05-13 Iman Askari , Yebin Wang , Vedeng M. Deshpande , Huazhen Fang

We study parameterisation-independent closed planar curve matching as a Bayesian inverse problem. The motion of the curve is modelled via a curve on the diffeomorphism group acting on the ambient space, leading to a large deformation…

计算机视觉与模式识别 · 计算机科学 2023-07-12 Andreas Bock , Colin J. Cotter , Robert C. Kirby

Task and motion planning under Signal Temporal Logic constraints is known to be NP-hard. A common class of approaches formulates these hybrid problems, which involve discrete task scheduling and continuous motion planning, as mixed-integer…

机器人学 · 计算机科学 2025-08-21 Jiming Ren , Xuan Lin , Roman Mineyev , Karen M. Feigh , Samuel Coogan , Ye Zhao

Laser-controlled entanglement between atomic qubits (`spins') and collective motion in trapped ion Coulomb crystals requires conditional momentum transfer from the laser. Since the spin-dependent force is derived from a spatial gradient in…

原子物理 · 物理学 2021-12-06 Adam D West , Randall Putnam , Wesley C Campbell , Paul Hamilton

Autonomous motion planning under unknown nonlinear dynamics presents significant challenges. An agent needs to continuously explore the system dynamics to acquire its properties, such as reachability, in order to guide system navigation…

机器人学 · 计算机科学 2025-03-06 Zhiquan Zhang , Gokul Puthumanaillam , Manav Vora , Melkior Ornik

Optimal collision-free formation control of the unmanned aerial vehicle (UAV) is a challenge. The state-of-the-art optimal control approaches often rely on numerical methods sensitive to initial guesses. This paper presents an innovative…

机器人学 · 计算机科学 2025-07-02 Hossein B. Jond , Logan Beaver , Martin Jiroušek , Naiemeh Ahmadlou , Veli Bakırcıoğlu , Martin Saska

In this work, we introduce a control framework that combines model-based footstep planning with Reinforcement Learning (RL), leveraging desired footstep patterns derived from the Linear Inverted Pendulum (LIP) dynamics. Utilizing the LIP…

机器人学 · 计算机科学 2024-08-06 Ho Jae Lee , Seungwoo Hong , Sangbae Kim

Quantum transport in a one-dimensional (1D) quasiperiodic lattice with mobility edges is explored. We first investigate the adiabatic pumping between left and right edge modes by resorting to two edge-bulk-edge channels and demonstrate that…

量子物理 · 物理学 2022-06-22 Yan Xing , Lu Qi , Xuedong Zhao , Zhe Lü , Shutian Liu , Shou Zhang , Hong-Fu Wang

It is shown that the kinematic system describing planar non-steady motions of ideal fibre-reinforced fluids may be reduced to a single two-dimensional third-order partial differential equation in which time enters parametrically. A…

可精确求解与可积系统 · 物理学 2021-11-18 Dmitry K. Demskoi , Wolfgang K. Schief

We consider a rigid body freely moving in a compressible inviscid fluid within a bounded domain $\Omega\subset\mathbb{R}^3$. The fluid is thereby governed by the non necessarily isentropic compressible Euler equations, while the rigid body…

偏微分方程分析 · 数学 2025-12-11 Frédéric Rousset , Pei Su

A system consisting of a doubly clamped beam with an attached body (slider) free to move along the beam has been studied recently by multiple research groups. Under harmonic base excitation, the system has the capacity to passively adapt…

适应与自组织系统 · 物理学 2022-08-02 Florian Müller , Maximilian Beck , Malte Krack

In this paper we consider a linear system modeling the vibrations of two nonhomogeneous Euler-Bernoulli beams connected by a point mass. This system is generated by the following equations\bea…

谱理论 · 数学 2018-04-18 Jamel Ben Amara , Hedi Bouzidi
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