Rotational inertia and multimodal heaviness perception

Matthew Streit; Kevin Shockley; Michael A. Riley

doi:10.3758/bf03194135

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

2021 IEEE Virtual Reality and 3D User Interfaces (VR) ◽

10.1109/vr50410.2021.00021 ◽

2021 ◽

Author(s):

Shuntaro Shimizu ◽

Takeru Hashimoto ◽

Shigeo Yoshida ◽

Reo Matsumura ◽

Takuji Narumi ◽

...

Keyword(s):

High Speed ◽

Rotational Inertia ◽

Speed Change

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Tetrahedra of varying density and their applications

The Visual Computer ◽

10.1007/s00371-021-02189-0 ◽

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

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

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.620.321 ◽

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 .

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Heaviness Perception Affected by Task Difficulty in Load-Bearing

Rigakuryoho Kagaku ◽

10.1589/rika.23.593 ◽

2008 ◽

Vol 23 (5) ◽

pp. 593-596

Author(s):

Hidetoshi TABAOKA ◽

Akira OCHI ◽

Yasunori KATAOKA ◽

Manabu OKITA ◽

Shu MORIOKA ◽

...

Keyword(s):

Task Difficulty ◽

Load Bearing ◽

Heaviness Perception

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Tension Control Strategy in Plastic Film Printing Process

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.655-657.1321 ◽

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.

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