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Analysis of Polygon Taper Shank and Spindle Contact State Simulation

Zhigang Wang, Jing Wang, Zhenhua Wu
2016 International Journal of Control and Automation  
According to the basic characteristics of the polygon taper shank connection type surface, analyzing the working principle of polygon type surface shank; based on the contact characteristics of polygon  ...  and spindle by using the finite element analysis software ansys-workbench, obtaining the contact surface stress of shank and spindle under the clamping force, and providing theoretical basis for the using  ...  The average value of A and B section magnitude of the interference is Δ平均=(Δ A +Δ B )/2, used as the shank of magnitude of interference, the average maximum magnitude of interference of polygon taper shank  ... 
doi:10.14257/ijca.2016.9.3.11 fatcat:dnn6qclkzzdrbkjpe6i5ba7yae

Immobilizing polygons against a wall

Mark Overmars, Anil Rao, Otfried Schwarzkopf, Chantal Wentink
1995 Proceedings of the eleventh annual symposium on Computational geometry - SCG '95  
and a clamp.  ...  Our rst result is that almost any polygonal part can be constrained in form-closure with an edge-contact and two point-contacts.  ...  Intersections between clamp and locator We h a ve so far taken into account collisions between locators and the polygon as also clamps with the polygon.  ... 
doi:10.1145/220279.220283 dblp:conf/compgeom/OvermarsRSW95 fatcat:wqqx7n6j3bbrxdb6i5pda72n2q

Buckling of Tapered Columns with Polygon Cross-Section

Magdy Salama
2018 Computational engineering and physical modeling  
The polygon cross-sections other the circular one are studied by investigating a direct relation between the side number of the polygon cross-section and the critical load parameter.  ...  Various end conditions of the tapered columns such as pinned ends, clamped -pinned ends and clamped ends are considered in this paper.  ...  The polygon cross-sections other the circular one are studied by investigating a direct relation between the side number of the polygon cross-section and the critical load parameter.  ... 
doi:10.22115/cepm.2018.136082.1032 doaj:013ac34a41ab46379048f78a8ef95e0f fatcat:hrani3nn6rdojcl4xx4pomgylm

Local buckling strength of closed polygon folded section columns

Tetsuhiko Aoki, Yasuhiro Migita, Yuhshi Fukumoto
1991 Journal of constructional steel research  
The polygon cross-sections other the circular one are studied by investigating a direct relation between the side number of the polygon cross-section and the critical load parameter.  ...  Various end conditions of the tapered columns such as pinned ends, clamped -pinned ends and clamped ends are considered in this paper.  ...  The polygon cross-sections other the circular one are studied by investigating a direct relation between the side number of the polygon cross-section and the critical load parameter.  ... 
doi:10.1016/0143-974x(91)90077-e fatcat:bjsd7e4havfrjpz2dwax47fduy

All convex polyhedra can be clamped with parallel jaw grippers

Prosenjit Bose, David Bremner, Godfried Toussaint
1996 Computational geometry  
We show that all nvertex convex polyhedra can be clamped regardless of the gripper size and present an O(n + k) time algorithm to compute all positions of a polyhedron that allow a valid clamp where k  ...  We also observe that all terrain polyhedra and orthogonal polyhedra can be clamped and a valid clamp can be found in linear time.  ...  Acknowledgements We thank Tapan Bose and Pierre Benard for discussions on the physical model of a clamp.  ... 
doi:10.1016/0925-7721(95)00052-6 fatcat:xtvy5qtvsrbbnp52hsjj6sbgyi

Nanomechanical resonators with ultra-high-Q perimeter modes [article]

Mohammad. J. Bereyhi, Amirali Arabmoheghi, Sergey A. Fedorov, Alberto Beccari, Guanhao Huang, Tobias J. Kippenberg, Nils J. Engelsen
2021 arXiv   pre-print
Here we demonstrate a new approach to soft clamping which exploits vibrations in the perimeter of polygon-shaped resonators tethered at their vertices.  ...  In contrast to previous approaches, which rely on cascaded elements to achieve soft clamping, perimeter modes are soft clamped due to symmetry and the boundary conditions at the polygon vertices.  ...  CONCLUSION We demonstrated extremely compact perimeter modes in vertex-clamped polygon resonators that implement soft clamping without a phononic bandgap.  ... 
arXiv:2108.03615v2 fatcat:idrje3rbobbdllajrodrpgfwru

Fundamental frequency of clamped plates with circularly periodic boundaries

H. Yüce, C.Y. Wang
2007 Journal of Sound and Vibration  
The method is then applied to wavy, star shape and polygonal plates with clamped boundary conditions.  ...  A boundary perturbation method is developed to determine the fundamental frequency of vibrating plates.  ...  Notice that for e ¼ 0, the fundamental frequency of clamped circular plate is recovered. Polygonal plates Let a be the normalized radius of the inscribing circle of a regular polygon with M sides.  ... 
doi:10.1016/j.jsv.2006.06.051 fatcat:vesh3khh3nb77llsjykt5fxm2q

On the Existence of Solutions in Modular Fixturing

Yan Zhuang, Ken Goldberg
1996 The international journal of robotics research  
For the class of modular fixtures using 3 locators and a clamp, we show that there exists a class of polygonal parts that cannot be fixtured.  ...  A fixture is a device that locates and holds parts during machining or assembly. A modular fixture employs reusable components on a regular lattice.  ...  At top, a part fixtured with 3 locators and one clamp. At bottom, a part fixtured using 4 clamps.  ... 
doi:10.1177/027836499601500608 fatcat:cwpdmj5gf5dnzecgad4nn26oey

Page 6079 of Mathematical Reviews Vol. , Issue 96j [page]

1996 Mathematical Reviews  
A polygon is clampable if it has a clamp for every positive clamp length d.  ...  Aclamp” of length d for a simple plane polygon P is a parallel pair of grippers forming opposite sides of a rectangle, positioned in such a manner that a squeezing pressure would be stably resisted by  ... 

Querying visible points in large obstructed space

Jianqiu Xu, Ralf Hartmut Güting
2014 Geoinformatica  
By decomposing the polygon into a set of triangles, we manage the polygon by organizing triangles in an efficient way instead of maintaining a large number of vertices.  ...  To solve the problem, we proposes a new and fast algorithm to find visible points for an arbitrary query location inside a large polygon containing obstacles.  ...  Lemma 4.2 p is visible to q Let cl(q, f 1 , f 2 ) be the current clamp with q being the apex and P oly q be a polygon with four vertices {q, f 1 , f 2 , p}.  ... 
doi:10.1007/s10707-014-0213-7 fatcat:vjzb7u2aybfwtitc52iprmn4t4

A complete algorithm for designing planar fixtures using modular components

R.C. Brost, K.Y. Goldberg
1996 IEEE Transactions on Robotics and Automation  
Abstruct-Commercially available modular fixturing systems typically include a lattice of holes with precise spacing and an assortment of precision locating and clamping modules that can be rigidly attached  ...  In this paper we present an implemented algorithm that accepts a polygonal description of the part silhouette, and efficiently constructs the set of all feasible fixture designs that kinematically constrain  ...  This includes a polygon describing the shape of the clamp body, locations of the clamp mounting holes, a polygon describing the shape of the clamp plunger, and its mirdmax travel limits.  ... 
doi:10.1109/70.481749 fatcat:7v5hyxdgxbgjvnonwhck2ajgc4

Page 2599 of Mathematical Reviews Vol. , Issue 97D [page]

1997 Mathematical Reviews  
We show that all n-vertex convex polyhedra can be clamped regardless of the gripper size and present an O(n +k) time algorithm to compute all positions of a polyhedron that allow a valid clamp where &  ...  This implies, for example, that given a simple polygon in 3-space we can determine whether there exists a plane on which the projection is a simple polygon, within the same complexity.  ... 

Stretching the rubber sheet

Manojit Sarkar, Scott S. Snibbe, Oren J. Tversky, Steven P. Reiss
1993 Proceedings of the 6th annual ACM symposium on User interface software and technology - UIST '93  
Imagine the original 2D layout on a rubber sheet. Users can select and enlarge different areas of the sheet by holding and stretching it with a set of special tools called handles.  ...  The technique has some additional desirable features such as areas specified as arbitrary closed polygons, multiple regions of interest, and uniform scaling inside the stretched regions.  ...  The technique provides clamps to preserve and view multiple enlarged regions. A horizontal handle and a vertical handle can be clamped together at their inter- secting point.  ... 
doi:10.1145/168642.168650 dblp:conf/uist/SarkarSTR93 fatcat:sawyhq2gu5ddlexjiskqyffpzq

Computing tolerance parameters for fixturing and feeding

Jingliang Chen, Ken Goldberg, Mark H. Overmars, Dan Halperin, Karl F. Böhringer, Yan Zhuang
2002 Assembly Automation  
In this paper we consider fixturing convex polygonal parts using right-angle brackets and feeding polygonal parts on conveyor belts using sequences of vertical fences.  ...  Let P denote a convex polygonal projection of a part without parallel edges. As illustrated in Figure 2 , such a part can be fixtured using one right-angle bracket and one clamp.  ...  Moving from the right to left, the clamp establishes a point contact with a remaining edge of the part which we refer to as the clamp edge of the part.  ... 
doi:10.1108/01445150210423206 fatcat:fhmksgtlyzeknfqnxyelboh7gu

Page 378 of American Journal of Archaeology Vol. 7, Issue 4 [page]

1891 American Journal of Archaeology  
In two adjacent outer stones are to be seen the only clamp-holes which were found anywhere in the walls. One is for half of a U-shaped, the other for half of a -+shaped clamp.  ...  Further on toward O, a course of fine polygonal blocks rests upon the breccia ; and near 0 the poly- gonal blocks only are in sight.  ... 
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