Helmholtz free energy

Magnetic Navigation System With Gradient and Uniform Saddle Coils for the Wireless Manipulation of Micro-Robots in Human Blood Vessels

Seungmun Jeon, Gunhee Jang, Hyunchul Choi, Sukho Park

Citations: 176 • 2010

A parameterized‐background data‐weak approach to variational data assimilation: formulation, analysis, and application to acoustics

Yvon Maday, Anthony T. Patera, James Douglass Penn, Masayuki Yano

Citations: 132 • 2014

Magnetic Swimming Mechanism in a Viscous Liquid

Seiichi Sudo, Shinya Segawa, T. Honda

Citations: 84 • 2006

Effective Estimation of Contact Force and Torque for Vision-Based Tactile Sensors With Helmholtz–Hodge Decomposition

Yazhan Zhang, Zicheng Kan, Yang Yang, Yu Alexander Tse, Michael Yu Wang

Citations: 72 • 2019

Swimming microrobot actuated by two pairs of Helmholtz coils system

Donghak Byun, Jongho Choi, Kyoungrae Cha, Jong-oh Park, Sukho Park

Citations: 56 • 2010

Design and Optimization of a Novel Double-Layer Helmholtz Coil for Wirelessly Powering a Capsule Robot

Jinyang Gao, Siyu Tian, Changshun Yuan, Ziyu Ma, Chen Gao, Guozheng Yan, Ruiqin Li, Qiulin Tan, Li Zhang

Citations: 53 • 2023

Feedback control of an achiral robotic microswimmer

U Kei Cheang, Dejan Milutinović, Jongeun Choi, Min Jun Kim

Citations: 53 • 2017

Enhancing the Sound Absorption of Small-Scale 3-D Printed Acoustic Metamaterials Based on Helmholtz Resonators

Cecilia Casarini, Benjamin Tiller, Carmelo Mineo, Charles MacLeod, James F. C. Windmill, Joseph C. Jackson

Citations: 34 • 2018

Modular Morphing Lattices for Large-Scale Underwater Continuum Robotic Structures

Alfonso Parra Rubio, Dixia Fan, Benjamin Jenett, José del Águila Ferrandis, Filippos Tourlomousis, Amira Abdel-Rahman, David Preiss, Jiří Zemánek, Michael Triantafyllou, Neil Gershenfeld

Citations: 31 • 2023

Multi-Trigger Thermo-Electro-Mechanical Soft Actuators under Large Deformations

Ebrahim Yarali, Reza Noroozi, Armin Yousefi, Mahdi Bodaghi, Mostafa Baghani

Citations: 26 • 2020

Magnetic Force-Propelled 3D Locomotion Control for Magnetic Microrobots via Simple Modified Three-Axis Helmholtz Coil System

Armando Ramos‐Sebastian, Sung Hoon Kim

Citations: 25 • 2021

Control theorem of a universal uniform-rotating magnetic vector for capsule robot in curved environment

Yongshun Zhang, Na Wang, Chun-Yu Du, Ying Sun, DianLong Wang

Citations: 25 • 2012

Fabrication and control of simple low Reynolds number microswimmers

U Kei Cheang, Min Jun Kim

Citations: 25 • 2016

Magnitude and Orientation Error Correction of a Superimposed Spatial Universal Rotating Magnetic Vector

Yongshun Zhang, Zhongkan Su, Minglu Chi, Yunkui Huang, Dianlong Wang

Citations: 23 • 2016

Design, analysis and experiments of a spatial universal rotating magnetic field system for capsule robot

Yongshun Zhang, Huaying Xie, Na Wang, Lvhua Wang, Chun-Yu Du, Ying Shun, Zhuang Ma

Citations: 22 • 2012

Motion characteristics of untethered swimmer with magnetoelastic material

Hongbiao Xiang, Mengwei Li, Tilei Zhang, Shoujun Wang, Mian Zhang, Yang Song, Wenxing Huo, Xian Huang

Citations: 15 • 2021

Two-dimensional motion control of micro-robot by using two pairs of Helmholtz coils

Jin‐Soo Kim, Chan Park, Jeonghoon Yoo, Seung‐Jong Kim

Citations: 11 • 2013

Feedback control of three-bead achiral robotic microswimmers

U Kei Cheang, Dejan Milutinović, Jongeun Choi, Louis William Rogowski, Min Jun Kim

Citations: 11 • 2015

Evolving Diverse Collective Behaviors Independent of Swarm Density

Payam Zahadat, Heiko Hamann, Thomas Schmickl

Citations: 10 • 2015

Voltage-driven torsion of electroactive thick tubes reinforced with helical fibers

Liwen He, Jia Lou, Jianke Du

Citations: 9 • 2018