deformation due to rotational inertia qy(t,L)

2009 ◽  
pp. 142-142
Keyword(s):  
Rotational Inertia

Unident: Providing Impact Sensations on Handheld Objects via High-Speed Change of the Rotational Inertia

2021 ◽  
Author(s):  
Shuntaro Shimizu ◽  
Takeru Hashimoto ◽  
Shigeo Yoshida ◽  
Reo Matsumura ◽  
Takuji Narumi ◽  
...  
Keyword(s):  
High Speed ◽  
Rotational Inertia ◽  
Speed Change

scholarly journals Tetrahedra of varying density and their applications

2021 ◽  
Author(s):  
Dennis R. Bukenberger ◽  
Hendrik P. A. Lensch
Keyword(s):  
Tetrahedral Mesh ◽  
Rotational Inertia ◽  
Exact Mass ◽  
Accurate Analysis ◽  
Exact Integration ◽  
Voronoi Cells ◽  
Current State ◽  
Chebyshev Norm ◽  
Exact Calculations ◽  
Vector Matrix

Abstract We propose concepts to utilize basic mathematical principles for computing the exact mass properties of objects with varying densities. For objects given as 3D triangle meshes, the method is analytically accurate and at the same time faster than any established approximation method. Our concept is based on tetrahedra as underlying primitives, which allows for the object’s actual mesh surface to be incorporated in the computation. The density within a tetrahedron is allowed to vary linearly, i.e., arbitrary density fields can be approximated by specifying the density at all vertices of a tetrahedral mesh. Involved integrals are formulated in closed form and can be evaluated by simple, easily parallelized, vector-matrix multiplications. The ability to compute exact masses and centroids for objects of varying density enables novel or more exact solutions to several interesting problems: besides the accurate analysis of objects under given density fields, this includes the synthesis of parameterized density functions for the make-it-stand challenge or manufacturing of objects with controlled rotational inertia. In addition, based on the tetrahedralization of Voronoi cells we introduce a precise method to solve $$L_{2|\infty }$$ L 2 | ∞ Lloyd relaxations by exact integration of the Chebyshev norm. In the context of additive manufacturing research, objects of varying density are a prominent topic. However, current state-of-the-art algorithms are still based on voxelizations, which produce rather crude approximations of masses and mass centers of 3D objects. Many existing frameworks will benefit by replacing approximations with fast and exact calculations. Graphic abstract

Analysis of Elastic Motion Stability of Flexible Manipulator Arm Based on Lyapunov Stability Theory

2014 ◽  
Vol 620 ◽  
pp. 321-329
Author(s):  
Guang Rui Liu ◽  
Wen Bo Zhou ◽  
Rong Fu Liu
Keyword(s):  
Lyapunov Stability ◽  
Stability Theory ◽  
Lagrange Equation ◽  
Lyapunov Stability Theory ◽  
The State ◽  
Flexible Manipulator ◽  
Rotational Inertia ◽  
Control Input ◽  
Motion Stability ◽  
Manipulator Arm

In order to study the elastic motion stability of flexible manipulator arm , to compute the maximum dynamic allowable payload , the partial differential equation of elastic motion of the flexible manipulator arm is solved using the method of Laplace transformation , the dynamic model of flexible manipulator arm carried addition mass on its end position is established ,simplified and truncated using Lagrange equation . the state space expression is established with the state variable and control input and output variable designated , the elastic motion stability rule is built upon and simplified using Lyapunov stability theory . The influence of the end position addition mass and articulation rotational inertia of flexible manipulator arm on its elastic motion stability is analyzed using the stability rule , and the dynamic maximum allowable payload of flexible manipulator arm on its end position is computed in order to guarantee its elastic motion stability . this study is important to the design of robot mechanical manipulator and corresponding drive control system .

Tension Control Strategy in Plastic Film Printing Process

2013 ◽  
Vol 655-657 ◽  
pp. 1321-1325
Author(s):  
Peng Sun ◽  
Peng Cao
Keyword(s):  
Control Method ◽  
Friction Torque ◽  
Tension Control ◽  
Rotational Inertia ◽  
Plastic Film ◽  
Diameter Measurement ◽  
Dynamic Tension ◽  
Drive Control ◽  
Coil Diameter ◽  
Constant Tension

The character of the tension control in the plastic-film printing was introduced, and the coiler drive control method was given. The indirect constant tension control method was analyzed, and the key parameters were given, also the method of coil diameter measurement with distance meter, the friction torque in different rotate speed was given by the friction torque test; the method of rotational inertia measurement which influence the dynamic tension was put forward.

Building a ‘‘no‐cost’’ apparatus to demonstrate rotational inertia

1984 ◽  
Vol 22 (5) ◽  
pp. 333-333
Author(s):  
Richard B. Minnix ◽  
D. Rae Carpenter
Keyword(s):  
Rotational Inertia

scholarly journals Nonclassical Rotational Inertia in Helium Crystals

2007 ◽  
Vol 99 (13) ◽  
Author(s):  
A. C. Clark ◽  
J. T. West ◽  
M. H. W. Chan
Keyword(s):  
Rotational Inertia ◽  
Helium Crystals

scholarly journals Heterogeneous Inertia Estimation for Power Systems with High Penetration of Converter-Interfaced Generation

Energies ◽  
2021 ◽  
Vol 14 (16) ◽  
pp. 5047
Author(s):  
Diala Nouti ◽  
Ferdinanda Ponci ◽  
Antonello Monti
Keyword(s):  
Power Systems ◽  
Estimation Algorithm ◽  
System Stability ◽  
Rotational Inertia ◽  
Heterogeneous Distribution ◽  
Proper Actions ◽  
High Penetration ◽  
System Operator ◽  
And Control ◽  
System Inertia

The increasing and fast deployment of distributed generation is posing challenges to the operation and control of power systems due to the resulting reduction in the overall system rotational inertia and damping. Therefore, it becomes quite crucial for the transmission system operator to monitor the varying system inertia and damping in order to take proper actions to maintain the system stability. This paper presents an inertia estimation algorithm for low-inertia systems to estimate the inertia (both mechanical and virtual) and damping of systems with mixed generation resources and/or the resource itself. Moreover, the effect of high penetration of distributed energy resources and the resulting heterogeneous distribution of inertia on the overall system inertia estimation is investigated. A comprehensive set of case studies and scenarios of the IEEE 39-bus system provides results to demonstrate the performance of the proposed estimator.

Effects of Rotational Inertia and Bearing Force on Stability of Permanent Maglev Rotator

2012 ◽  
Vol 150 ◽  
pp. 50-56
Author(s):  
Kun Xi Qian ◽  
Z.H. Xu ◽  
H. Wang
Keyword(s):  
Negative Correlation ◽  
High Speed ◽  
Magnetic Force ◽  
Measuring System ◽  
Rotational Inertia ◽  
Rotating Speed ◽  
Stable Suspension ◽  
Minimal Speed ◽  
Bearing Force ◽  
Magnetic Rings

The authors’ former works demonstrated that a passive magnetic (PM) rotator supported merely by PM bearings has a minimal speed, above which it can stabilize its equilibrium, under the function of a so-called Gyro-effect. It is unclear, however, by which factors is this minimal speed determined. This paper investigated the factors affecting the minimal stable speed of permanent maglev rotator, namely, the rotating inertia and PMB force. Two novel permanent maglev turbine models were designed: Model A---one stator and three rotors which have the same size but different rotational inertias; Model B---one rotor and one stator, but the stator has been devised with three different passive magnetic bearings: 1. a pair of small magnetic rings; 2. a pair of big magnetic rings; and 3. both of the two pairs of magnetic rings. Four Hall sensors distributed evenly at the turbine’s stator were used to detect the rotor’s eccentricity, and the speed sensor measured rotating speed. The calculated models of rotor’s eccentricity were established respectively for the two turbine models; the rotor’s eccentricity measuring system was built up and the rotor’s eccentricity of the two turbines was measured. The experimental data demonstrated that the rotational inertia of three rotors in the model A is 6.293×10-5 kg•m2, 1.074×10-4 kg•m2 and 2.081×10-4 kg•m2 respectively, and the corresponding minimal speed for suspension are 4597rpm, 3030rpm and 2222rpm respectively; in the model B, the magnetic force between the stator and rotor in the three cases is 92.12N, 123.48N, 212.66N respectively, corresponding to the minimal speed for suspension---3730rpm, 3120rpm and 2195rpm respectively. The results exhibited that same as the permanent maglev heart pump, permanent maglev turbines also have gyroscopic effect, which makes the rotors maintain stable suspension. And the minimal speed for suspension has a negative correlation with the rotor’s rotational inertia, namely, the bigger the inertia of the rotor, the smaller the required speed for suspension; the minimal speed for suspension also has a negative correlation with the magnetic force between the stator and rotor, that is, the larger the magnetic force, the smaller the rotating speed for suspension. Smaller minimal speed means better stability of the system, thereafter larger inertia or larger bearing force means better stability; besides, larger difference between minimal speed and performance speed of the rotator means better stability, it’s suggested permanent maglev be applied in high speed rotary machines.

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