Bevel angles for three dimensional connections pdf download






















The hopper miter angle is the same as the jack rafter side cut angle and the hopper saw blade bevel angle is the same as the hip rafter backing angle. The crown spring angle is measured on a vertical plane. The hopper slope angle is measured on a horizontal plane. Polygon table with hopper base and IPE decking table top. Year of fee payment : 4. Effective date : Year of fee payment : 8.

Year of fee payment : The other two non-hypotenuse legs are capable of being latched or detached by a latching joint that, when latched, forms a substantially 90 degree angle between the two non-hypotenuse legs to function as a carpenter's square. One of the articulating joints at the hypotenuse leg is capable of tightening and loosening.

The hypotenuse leg also consists of a slot positioned longitudinally of the hypotenuse leg. The tightening and loosening articulated joint joins the hypotenuse leg with an adjacent leg through the slot, which allows the adjacent leg movement about the joint relative to the hypotenuse leg to function as a bevel.

Provisional Application Ser. The present invention relates, generally, to carpentry tools. More particularly, the invention relates to a folding carpenter square and a bevel tool. The state of the art includes various carpenter's squares for laying out square and angled lines for various purposes, such as the well-known Swanson Speed Square, and tools for transferring bevel angles.

But prior art devices are believed to have significant limitations and shortcomings. The tool is very useful for layouts, rafter cuts, and as a protractor for marking angles; however its bulky triangular shape is not conducive for easy storage and carrying.

Several U. The L-shaped piece provides a fixed 90 degree angle when desired and the pivoting piece allows angular layout. Though the two elements can fold together, the tool is still very bulky due to the L-shaped piece. Because the members are articulated, they can be folded into a straight compact form. Ninety degree angles are formed by elements when they are in a certain position relative to each other, and the elements can be moved to determine other angles.

In the Main device, one element slides relative to another to maintain a 90 degree angle. A sliding bevel is a very useful tool for laying out and transferring bevels from existing construction to new work.

In such a sliding bevel, one part freely slides and pivots relative to another part. An example is disclosed in U. Of the devices with two or three arms with pivoting connections therebetween used to layout square and angled lines, none are as suitable as the Bissell bevel device for transferring bevels since they do not have a sliding and freely pivoting element. The Bissell bevel device, however, is not suited for laying out 90 degree lines like a carpenter square.

Since both a carpenter square and a sliding bevel are very useful tools, both are typically carried in a carpenter's tool box or work belt. It is desirable to have a single tool that can perform the functions of a carpenter square, such as the Beis device, and the functions of a sliding bevel, such as the Bissell device, and be foldable into a small compact unit, such as the Butwin device.

The present invention comprises a foldable triangle-shaped carpentry tool having three adjoining legs, with an articulating joint between the hypotenuse leg and each adjoining leg. A slot in the hypotenuse leg with one of the articulating joints being capable of tightening and loosening the joint relative to its adjacent leg to the slot allows the adjacent leg movement about the joint relative to the hypotenuse leg to function as a bevel or sliding bevel.

The carpentry tool may be folded even more compactly when one of the non-hypotenuse legs is comprised of two opposing members that are in a parallel, spaced-apart relationship to the other where the spaced relationship is sufficient to receive at least an edgewise portion of the other non-hypotenuse leg when the articulating joint capable of loosening is loosened, the other articulated joint is articulated, and the latching joint between the non-hypotenuse legs is detached.

Like reference numerals are used to designate like parts through the several views of the drawings, wherein:. Referring to FIGS. Folding square 20 preferably has an overall triangular shape with adjoining three legs 22 , 24 and 26 , with leg 22 being the hypotenuse leg.

First and second legs 22 and 24 are preferably flat planar members and have an articulating joint 28 between them such that leg 24 will open planarly with leg In preferred form, articulated joint 28 is a pivotable joint. Further opening of joint 28 past the 45 degrees between the first and second legs may be stopped by contact of a beveled end 30 of the second leg 24 against an inner edge 32 of the first leg First leg 22 has an elongated slot 34 therein where one end of slot 34 may begin at or near articulating joint 28 and the other end of slot 34 may end at or near another articulating joint 36 between first leg 22 and third leg Articulating joint 36 , which joins first leg to the third leg, is capable of tightening and loosening the connection of the first leg 22 to the third leg In a preferred embodiment, third leg 26 is connected to first leg 22 by a thumb screw, although other articulating joints may be used, such as a wing nut.

Although it is easier to use a hand-operated screw, nut or other hand-operated tightening means, the invention still encompasses an articulated joint 36 that can be tightened or loosened by a wrench or other mechanical device. Articulating joint 36 has a lower portion e.

Although the application of the network model approach has been presented earlier [2], and has also be applied to planar systems [12] to derive the kinematic as well as the dynamic behaviour of more complicated three- dimensional mechanical systems containing bevel-gear trains requires further elaboration. Tokad The network model approach utilizes an oriented linear graph which carries more information than that of a non-oriented graph approach. On the other hand, the mathematical model of a multi-terminal component a sub-system utilized in the network model approach is composed of two parts.

The first part, called the terminal graph, is a topological tree which indicates clearly the terminal pairs ports where a pair of meters, real or conceptual, are connected to measure a pair of complementary terminal variables which are necessary to describe the physical behaviour of the component.

The complementary terminal variables in mechanical systems are the terminal across translational and rotational velocities and the terminal through forces and moments variables. In mechanical systems, the terminal graph is chosen in the form of a star-like tree also called a lagrangian tree , a graph in which the edges radiate from a common vertex corresponding to the inertial reference S [13]. The edge orientations of the terminal graph identify the directions of the meters connected at the ports of the multi-terminal component.

The relationships between all the measured across and through variables at the ports, called the terminal equations, constitute the second and the other part of the mathematical model [14]. The linear graph technique has been used since the early sixties [13—16] for the electrical networks and other type of lumped physical systems including the mechanical systems in one- dimensional motion. However, the extension of this approach to three-dimensional mechanical systems evolved rather slowly [2, 17].

By this time, in the seventies, development of an equivalent technique, called the Bond Graphs, which is well known especially to mechanical engineers, took place [18]. Bond Graphs carries the same information as the system graph of a mechanical system and utilizes essentially modulated transformers and gyrators: MTF, MGY which correspond to ideal components perfect couplers in linear graph technique. Further, an important concept, namely the causality in bond graph approach corresponds to the selection of a formulation tree in the system graph.

This selection actually determines as to which variables are retained and which variables are eliminated in the final set of equations for that system. In obtaining a complete mathematical model of a multi-terminal mechanical component one should include both the kinematic and dynamic properties in the terminal equations for that component.

However in this paper we shall consider only the kinematical part of the terminal equations. This will in turn be sufficient since the static force relations to appear in the terminal equations will follow immediately from the kinematical relation because of the skew-symmetric property of the coefficient matrix appearing in the complete terminal equations.

The dynamic behaviour of the Bendix wrist is considered by the authors in another publication [26]. The Bendix robot wrist is chosen to demonstrate the application of the network model approach where only the kinematic and static force equations are derived as parts of its math- ematical model. This wrist contains a Roll-Bend-Roll type bevel-gear actuation system which has three degrees of freedom. In contrast to the usual open kinematic chains, the Bendix robot wrist contains more than six moving links and yields a closed kinematic chain [19—24].

The Mathematical Model Rigid bodies are the essential parts of mechanical systems. A mathematical model of a rigid body as a multi-terminal component which is discussed in [1] and is briefly reproduced here for convenience.

However in the dynamic model of the rigid body no connection will be made initially at the terminal A0 and it will be taken as the mass center G. Due to the vectorial nature of the terminal variables the lines in the terminal graph representing the ports of the component are shown by double lines. The orientation of the lines signifies the orientation of the meters.

Tokad of the vectors r0k , r0G and v0 , respectively, while J0 is the inertia matrix of the rigid body with respect to the Cartesian coordinate frame located at A0 which is parallel to the inertial frame S and finally g is the acceleration of gravity. If A0 is taken at the center of mass G of the rigid body, some simplifications will occur in the expression of the matrices in 2 and 3. For this reason explicit expressions of the submatrices P0 and Q0 are not given [1]. In the notations, the first two letters designate the gear meshes and the last letter identifies their respective carrier arm.

The train is constructed in such a way that one can give any orientation to the end effector by rotating the shafts R1 , R2 , and R3. End effector is going to be rigidly connected to R7. Each of the bevel gears R1 , R2 , R5 , R6 , R7 together with their shafts as well as the planetary carriers R3 , R8 and R4 are all considered as multi-terminal components.

Preferably, the supporting rods are distributed in an annular array in the garage body, and the parking platforms are distributed on each supporting rod at equal intervals. Preferably, the second motor, the rotating shaft, the second bevel gear set, the second transmission shaft and the rotating platform form a rotating mechanism, and the rotating platform is symmetrically provided with fixing rods.

Preferably, the movable frame comprises a shell, a third motor, a third bevel gear set, a third transmission shaft, a movable wheel and an electromagnet, the shell is connected to the movable frame in a sliding mode, the third motor is arranged at the upper end of the shell, the lower end of the third motor is connected with the third transmission shaft through the third bevel gear set, the outer end of the third transmission shaft penetrates through the inner side wall of the shell and is connected with the movable wheel, and the electromagnet is arranged on the front side of the shell.

Preferably, the L-shaped limiting frame comprises an iron sheet, a first baffle, a right-angle trapezoidal block, a second baffle and an inclined stop block, the rear side of the L-shaped limiting frame is provided with the iron sheet, the upper end of the L-shaped limiting frame is provided with the first baffle and the right-angle trapezoidal block, the first baffle is arranged on the outer side of the right-angle trapezoidal block, the upper end of the L-shaped limiting frame is provided with the second baffle and the inclined stop block, the second baffle is arranged on the outer side of the inclined stop block, and the second baffle is arranged on the front side of the first baffle.

Compared with the prior art, the invention has the beneficial effects that: the rotary type three-dimensional intelligent parking garage,. In the figure: 1. The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.

All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention. Referring to fig.



0コメント

  • 1000 / 1000