Relevant bibliographies by topics / Magic angle formula

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  2. Conference papers

Academic literature on the topic 'Magic angle formula'

Author: Grafiati
Published: 4 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Magic angle formula"

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Squires, Alexander, Kevin C. Chan, Leon C. Ho, Ian A. Sigal, Ning-Jiun Jan, and Zion Tsz Ho Tse. "MAPS – A Magic Angle Positioning System for Enhanced Imaging in High-Field Small-Bore MRI." Journal of Medical Robotics Research 01, no. 01 (2016): 1640004. http://dx.doi.org/10.1142/s2424905x16400043.

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The “magic angle” MRI effect can enhance signal intensity in aligned collagenous structures oriented at approximately 55[Formula: see text] with respect to the main magnetic field. The difficulty of positioning tissue inside closed-bore scanners has hampered magic angle use in research and clinics. An MRI-conditional mechatronic system has been developed to control sample orientation inside a 9.4T small bore MRI scanner. The system orients samples to within 0.5[Formula: see text] and enables a 600% increase in tendon signal intensity.
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Grushevskaya, H. V., G. G. Krylov, H. Y. Choi, and S. P. Kruchinin. "Electronic properties of twisted bilayer graphene in high-energy k ⋅p-Hamiltonian approximation." Modern Physics Letters B 34, no. 19n20 (2020): 2040055. http://dx.doi.org/10.1142/s0217984920400552.

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A model of twisted bilayer graphene has been offered on the base of developed quasi-relativistic approach with high energy [Formula: see text]-Hamiltonian. Monolayer-graphene twist is accounted as a perturbation of monolayer-graphene Hamiltonian in such a way that at a given point of the Brillouin zone there exists an external non-Abelian gauge field of another monolayer. Majorana-like resonances have been revealed in the band structure of model at a magic rotation angle [Formula: see text]. The simulations have also shown that a superlattice energy gap existing at a rotation angle [Formula: s
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Rao, K., R. Kumar, and P. Bohara. "Transient Finite Element Analysis of Tire Dynamic Behavior." Tire Science and Technology 31, no. 2 (2003): 104–27. http://dx.doi.org/10.2346/1.2135262.

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Abstract Dynamic behavior of a pneumatic tire is simulated by use of an explicit finite element (FE) code. Different parts of the tire and their corresponding material properties are taken into account in the FE model because they play a significant role in tire dynamics. The work presented in this study discusses simulation of cornering behavior, braking behavior, and combined cornering-cum-braking behavior. The effects of camber angle and grooved tread on tire cornering behavior are discussed. ABAQUS/Explicit, a general non-linear FE code, was used for these simulations. To predict the Magic
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Pan, Yunping, and Wenxuan Huang. "Tire dynamics simulation based on MATLAB/Simulink." Journal of Physics: Conference Series 2787, no. 1 (2024): 012024. http://dx.doi.org/10.1088/1742-6596/2787/1/012024.

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Abstract This paper explores different tire models to address the challenge of simulating tire dynamic characteristics. The Magic Formula is utilized to establish the dynamic model of the tire using the MATLAB/Simulink tool. Simulation analysis is performed under three distinct operating conditions: pure braking, pure cornering, and combined. The outcomes demonstrate that the mechanical properties of automotive tires can be effectively simulated using the Magic Formula tire model. Controlling the longitudinal slip ratio within a 10% range, maintaining the slip angle within a range of 7 degrees
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Fan, Xiao Bin, Yu Jiang, and Hui Gang Wang. "Stability Optimal Control Based on 15-Dof Vehicle Model." Advanced Materials Research 299-300 (July 2011): 1266–70. http://dx.doi.org/10.4028/www.scientific.net/amr.299-300.1266.

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The 15 degrees of nonlinear dynamic vehicle model is established, and then Dugoff and magic formula tire model are studied by comparison. Then the braking system dynamics model and the side-slip angle estimation algorithm are discussed. Stability control system is established based on the control target of combined yaw and side-slip angle with linear 2-dof vehicle handling characteristics model. It shows that control system can perfectly control vehicle driving and can improve the stability of car active safety through the serpent’s simulation test.
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Chen, Jian Feng, Xiao Dong Sun, Long Chen, and Hao Bin Jiang. "Estimation of Vehicle Sideslip Angle Using Strong Tracking SRUKF." Applied Mechanics and Materials 614 (September 2014): 267–70. http://dx.doi.org/10.4028/www.scientific.net/amm.614.267.

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Sideslip angle is an important parameter for the stability control of high-speed vehicles. In this paper, a novel state observer based on strong tracking SRUKF is presented to estimate the sideslip angle. Besides the strong tracking SRUKF algorithm, a 2-DOF vehicle model and a “Magic Formula” are utilized to construct the state observer. Numerical simulations are implemented to testify on the accuracy performance of estimation based on the strong tracking SRUKF and standard UKF. The results show that the trends using two types of filters are accordant with the theoretic values, and the accurac
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Li, Jing, and Jiaxu Zhang. "Vehicle Sideslip Angle Estimation Based on Hybrid Kalman Filter." Mathematical Problems in Engineering 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/3269142.

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Vehicle sideslip angle is essential for active safety control systems. This paper presents a new hybrid Kalman filter to estimate vehicle sideslip angle based on the 3-DoF nonlinear vehicle dynamic model combined with Magic Formula tire model. The hybrid Kalman filter is realized by combining square-root cubature Kalman filter (SCKF), which has quick convergence and numerical stability, with square-root cubature based receding horizon Kalman FIR filter (SCRHKF), which has robustness against model uncertainty and temporary noise. Moreover, SCKF and SCRHKF work in parallel, and the estimation ou
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Zhang, Lufeng, Tongyun Huang, Ying Liang, and Tianxing Ma. "Ground state superconducting pair correlations in twisted bilayer graphene." Modern Physics Letters B 34, no. 01 (2019): 2050016. http://dx.doi.org/10.1142/s0217984920500165.

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Motivated by the recent novel electronic features extracted from the magic-angle graphene superlattices, we studied the ground state superconducting pairing correlations within the Hubbard model on a twisted bilayer honeycomb lattice. Using Constrained-Path Quantum Monte Carlo method, we found that the [Formula: see text] pairing correlation dominates over other pairing patterns among various electron fillings and interaction strengths, and the effective pairing interaction was enhanced as the on-site Coulomb interaction increased. We further examined the effect of the nearest neighbor interac
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Dickson, Ross M., Michael S. McKinnon, James F. Britten, and Roderick E. Wasylishen. "A 13C and 15N nuclear magnetic resonance study of solid ammonium thiocyanate." Canadian Journal of Chemistry 65, no. 5 (1987): 941–46. http://dx.doi.org/10.1139/v87-159.

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The static 13C nmr powder pattern for solid ammonium thiocyanate is analyzed to obtain the 13C chemical shielding anisotropy, 321 ± 7 ppm, and the 13C–14N dipolar splitting, 1295 ± 25 Hz. Slow magic angle spinning 15N nmr experiments are analyzed to obtain a nitrogen chemical shielding anisotropy of 415 ± 15 ppm. The 13C–14N dipolar splitting leads to an effective C—N bond length of 1.19 ± 0.01 Å, in good agreement with the value of 1.176 Å reported from accurate X-ray and neutron crystallographic studies. In solid NH4NCS absolute values of the average shielding constants [Formula: see text] a
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Singh, Kanwar Bharat. "Vehicle Sideslip Angle Estimation Based on Tire Model Adaptation." Electronics 8, no. 2 (2019): 199. http://dx.doi.org/10.3390/electronics8020199.

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Information about the vehicle sideslip angle is crucial for the successful implementation of advanced stability control systems. In production vehicles, sideslip angle is difficult to measure within the desired accuracy level because of high costs and other associated impracticalities. This paper presents a novel framework for estimation of the vehicle sideslip angle. The proposed algorithm utilizes an adaptive tire model in conjunction with a model-based observer. The proposed adaptive tire model is capable of coping with changes to the tire operating conditions. More specifically, extensions
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Conference papers on the topic "Magic angle formula"

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Mohamad, Naser, and Kambiz Farhang. "A Vibration Model of a Suspension-Tire System." In ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/detc2004-57571.

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A two-dimensional suspension-Tire system is modeled to investigate the dynamic interaction between the suspension and the tire of an automotive system. A double A-arm suspension system is used in the model. Lagrange equation for a constrained set of generalized coordinates is employed to derive a lumped-mass model of the system. The effects of friction and mechanical characteristics of the tire-road interface in both lateral and vertical directions is modeled and utilized in the system’s dynamics using the Magic Formula for tire. The utilization of Lagrange equation along with the Magic Formul
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Ozatay, Evren, Samim Y. Unlusoy, and Murat A. Yildirim. "Design of Fuzzy Logic Controller for Four Wheel Steering System." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84114.

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Integration of the driver’s steering input together with the four-wheel steering system (4WS) in order to improve the vehicle’s dynamic behavior with respect to yaw rate and body sideslip angle is possible with intelligent vehicle dynamics control systems. The goal of this study is to develop a fuzzy logic controller for this purpose. In the first stage of the study, a three-degree of freedom nonlinear vehicle model including roll dynamics is developed. The Magic Formula is applied in order to formulate the nonlinear characteristics of the tires. In the design of the fuzzy logic controller, a
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Lee, Hoon, Pradeepkumar Ashok, and Delbert Tesar. "Visual Performance Maps for Human Choice in Hybrid Electric Vehicle’s In-Wheel Motors: Part II — Operation, Maintenance, and Refreshment Criteria." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47566.

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Part I of this paper demonstrated how different human choices affect the selection of all basic components of a Hybrid Electric Vehicles (HEV) equipped with four-independent In-Wheel Motors (IWM) based on detailed human needs structured by visual performance maps to guide the customer in terms of purchase criteria: cost, weight, power, acceleration, gradeability, braking, handling, ride comfort, efficiency, and durability. This Part II discusses ten operation criteria: cornering force margin, roll angle, sideslip angle, lateral acceleration, slip angle, yaw rate, acceleration force margin, bra
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Miller, Marius, Markus Pfeil, Ralph Kennel, and Raphael Murri. "Modeling of a Bicycle Cargo Trailer with Magic Formula Tire Model for Vehicle Dynamics Simulation." In The Evolving Scholar - BMD 2023, 5th Edition. The Evolving Scholar - BMD 2023, 5th Edition, 2023. http://dx.doi.org/10.59490/65b7a66dc3bb2ea6dd4f2173.

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In modern and sustainable concepts for supply chains, cargo bicycles, and cargo trailers can be a target-oriented solution in urban areas. However, drivers should be aware of the dynamics of these systems since, in the case of a loaded trailer, the trailer mass significantly exceeds the mass of the towing vehicle. However, the electrification of cargo trailers opens up the possibility of equipping these systems with an intelligent control system. This type of control system can be based on a model or tested using a model of the system. For this reason, the present research presents a single-tr
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Miller, Marius, Markus Pfeil, Ralph Kennel, and Raphael Murri. "Modeling of a Bicycle Cargo Trailer with Magic Formula Tire Model for Vehicle Dynamics Simulation." In The Evolving Scholar - BMD 2023, 5th Edition. The Evolving Scholar - BMD 2023, 5th Edition, 2023. http://dx.doi.org/10.59490/64fb0baca0066694c210e119.

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In modern and sustainable concepts for supply chains, cargo bicycles, and cargo trailers can be a target-oriented solution in urban areas. However, drivers should be aware of the dynamics of these systems since, in the case of a loaded trailer, the trailer mass significantly exceeds the mass of the towing vehicle. However, the electrification of cargo trailers opens up the possibility of equipping these systems with an intelligent control system. This type of control system can be based on a model or tested using a model of the system. For this reason, the present research presents a single-tr
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Sahoo, Shubhashisa, Shankar C. Subramanian, and Suresh Srivastava. "Sensitivity Analysis of Vehicle Parameters for Heading Angle Control of an Unmanned Ground Vehicle." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39685.

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Even if there are many software and mathematical models available in the literature to analyze the dynamic performance of Unmanned Ground Vehicles (UGVs), it is always difficult to identify or collect the required vehicle parameters from the vehicle manufacturer for simulation. In analyzing the vehicle handling performance, a difficult and complex task is to use an appropriate tire model that can accurately characterize the ground-wheel interaction. Though, the well-known ‘Magic Formula’ is widely used for this purpose, it requires expensive test equipment to estimate the Magic Formula coeffic
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Adireddy, Ganesh, Taehyun Shim, and Douglas Rhode. "Wheel Torque Controller Development Using a Simplified Tire Model for Vehicle Handling Enhancement." In ASME 2009 Dynamic Systems and Control Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/dscc2009-2773.

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A tire model is an essential element in the vehicle controller development and various complexities of tire models have been developed and used. It is highly desirable for the control systems to use a tire model that is computationally efficient and easy to implement in control algorithms while providing desired performance. In this paper, a wheel torque controller was developed using a non-linear predictive control theory, 8 degree of freedom vehicle model, and a simplified nonlinear tire model in order to control the vehicle yaw rate and side slip angle. The performance of this controller wa
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Bao, Ruixin, Francesco Braghin, Federico Cheli, and Edoardo Sabbioni. "A Particle Filter Approach for Identifying Tyre Model Parameters From Full-Scale Experimental Tests." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46614.

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Mathematical models simulating the handling behavior of passenger cars are extensively used at a design stage for evaluating the effects of new structural solutions or control systems. The main source of uncertainty in this type of models lies in the tyre-road interaction, due high nonlinearity. Proper estimation of tyre model parameters is thus of utter importance to obtain reliable results. A methodology aimed at identifying the Magic Formula-Tyre (MF-Tyre) model coefficients of the tyres of an axle based only on the measurements carried out on board vehicle (vehicle sideslip angle, yaw rate
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Kim, Taewung, Kyukwon Bang, Hyun-Yong Jeong, and Stephen Decker. "A Simple Vehicle Model for Path Prediction During Evasive Maneuvers and a Stochastic Analysis on the Crash Probability." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-43334.

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Active safety systems are being developed in automotive industry, and an analytical vehicle model is needed in such systems to predict vehicle path to assess the crash probability. However, the bicycle model cannot result in a good correlation with test data and ADAMS simulation results, and other analytical vehicle models which have 8 or 14 degrees of freedom need more computation time. Therefore, in this study a simple analytical vehicle model was proposed to predict vehicle path especially during evasive maneuvers. The analytical vehicle model can predict a vehicle’s path based on the given
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Wu, Jianyang, Zhenpo Wang, and Junmin Wang. "Influence of Tire Inflation Pressure on Vehicle Dynamics and Handling Performance." In ASME 2019 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/dscc2019-9055.

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Abstract Tire inflation pressure affects both tire longitudinal and lateral stiffness and thus may impose a considerable influence on vehicle dynamics and handling performance. This paper presents a comprehensive study revealing the effects of tire pressure variations and their distribution among four tires on vehicle dynamics and handling performance. An extended Magic Formula tire model and a modified UniTire model involving tire inflation pressure are employed to describe the tire longitudinal and lateral forces, respectively. Two groups of vehicle maneuvers are simulated in CarSim: a singl
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