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Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

Many physical systems can be modelled as parameter-dependent variational problems. In numerous cases, multiple equilibria co-exist, requiring the evaluation of their stability, and the monitoring of transitions between them. Generally, the…

Optimization and Control · Mathematics 2025-11-07 Siva Prasad Chakri Dhanakoti

Simulating protein-membrane interactions is an important and dynamic area of research. A proper definition of electrostatic forces on membrane surfaces is necessary for developing electromechanical models of protein-membrane interactions.…

Analysis of PDEs · Mathematics 2013-09-24 Michael Mikucki , Y. C. Zhou

For a one-dimensional motion, a constant of motion for non autonomous an linear system (position and velocity) is given from the constant of motion associated to its autonomous system. This approach is used in the study of the harmonic…

Mathematical Physics · Physics 2016-09-07 Gustavo Lopez

In this work we numerically compute the bifurcation curve of stationary solutions for the free boundary problem for MEMS in one space dimension. It has a single turning point, as in the case of the small aspect ratio limit. We also find a…

Analysis of PDEs · Mathematics 2015-07-07 Gilberto Flores , Noel F. Smyth

The use of the electric curtain (EC) has been proposed for manipulation and control of particles in various applications. The EC studied in this paper is called the 2-phase EC, which consists of a series of long parallel electrodes embedded…

Chaotic Dynamics · Physics 2014-11-11 Owen D. Myers , Junru Wu , Jeffrey S. Marshall

We present nonlinear dynamic equations for nematic and smectic $A$ liquid crystals in the presence of an alternating electric field and explain their derivation in detail. The local electric field acting in any liquid-crystalline system is…

Soft Condensed Matter · Physics 2023-06-30 E. S. Pikina , E. I. Kats , A. R. Muratov , V. V. Lebedev

Modern power steering systems employ an electric motor drive system to provide torque assistance to the driver. The closed-loop mechanical system dynamics that impact stability, performance and steering feel are significantly impacted by…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Prerit Pramod

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

Untethered soft robots that locomote using electrothermally-responsive materials like shape memory alloy (SMA) face challenging design constraints for sensing actuator states. At the same time, modeling of actuator behaviors faces steep…

Robotics · Computer Science 2022-08-03 Andrew P. Sabelhaus , Rohan K. Mehta , Anthony T. Wertz , Carmel Majidi

Today, electric scooter is a trendy personal mobility vehicle. The rising demand and opportunities attract ride-share services. A common problem of such services is abandoned e-scooters. An autonomous e-scooter capable of moving to the…

Systems and Control · Electrical Eng. & Systems 2024-07-15 Yun-Hao Lin , Alireza Jafari , Yen-Chen Liu

The total linear electromagnetic field momentum $\mathbf P_{\mathrm{em}}$ of a stationary electric dipole $\mathbf p$ in a static magnetic field $\mathbf B$ is considered. The expression $\mathbf P_{\mathrm{em}} = \frac12\mathbf B \times…

Classical Physics · Physics 2015-09-22 Ben Yu-Kuang Hu

An expression for the electrical conductivity at the core of a magnetar is derived using Boltzmann kinetic equation with the relaxation time approximation. The rates for the relevant scattering processes, e.g., electron-electron and…

Nonlinear micro-electro-mechanical systems (MEMS) resonators open new opportunities in sensing and signal manipulation compared to their linear counterparts by enabling frequency tuning and increased bandwidth. Here, we design, fabricate…

The current-carrying steady-state that arises in the middle of a metallic wire connected to macroscopic leads is characterized regarding its response functions, correlations and entanglement entropy. The spectral function and the dynamical…

Strongly Correlated Electrons · Physics 2017-08-09 Pedro Ribeiro

A model for a MEMS device, consisting of a fixed bottom plate and an elastic plate, is studied. It was derived in a previous work as a reinforced limit when the thickness of the insulating layer covering the bottom plate tends to zero. This…

Analysis of PDEs · Mathematics 2020-04-01 Philippe Laurençot , Katerina Nik , Christoph Walker

In the perspective of developing smart hybrid materials with customized features, ferrogels and magnetorheological elastomers allow a synergy of elasticity and magnetism. The interplay between elastic and magnetic properties gives rise to a…

Soft Condensed Matter · Physics 2016-10-12 Giorgio Pessot , Hartmut Löwen , Andreas M. Menzel

Classical molecular dynamics simulations have recently become a standard tool for the study of electrochemical systems. State-of-the-art approaches represent the electrodes as perfect conductors, modelling their responses to the charge…

Magnetic elastomers deform under a magnetic field, working as a soft actuator. Untethered microbot made of magnetic elastomers have great potentials in performing medical tasks inside human body as mini doctors. However, the lack of a…

Applied Physics · Physics 2018-10-23 Yukun Xia , Jikun Wang , Ruisen Yang , Tongqing Lu , Tiejun Wang , Zhigang Suo

Robotic legs have bimodal operations: swing phases when the leg needs to move quickly in the air (high-speed, low-force) and stance phases when the leg bears the weight of the system (low-speed, high-force). Sizing a traditional…

Robotics · Computer Science 2022-10-13 Alex Lecavalier , Jeff Denis , Jean-Sébastien Plante , Alexandre Girard