Bevel angles for three dimensional connections pdf download

Some examples of these latching mechanisms are shown in FIGS. Referring to the embodiment illustrated in FIGS. Opposing members 40 and 42 have a recessed area to receive spring latch so that the outside of spring latch is flush with end Spring latch has a catch extending into the space between members 40 and Catch preferably has a lip extending downward from catch that engages a notch in outer edge of leg Lip preferably is rolled or otherwise rounded to facilitate smooth engagement and disengagement with notch This latching mechanism is desirable because it requires the least amount of work acted upon opposing members 40 and Latch has a lip , which slides through a notch in member 40 and engages notch in outer edge of leg When activated, latch is then pivoted, as indicated by the arrows, to engage or disengage notch Latch may be activated by hand.

Once latch engages notch , its position relative to end portion 50 is retained by friction. This latching embodiment is similar to a typical bucket handle. Wire latch may be pivoted outward to engage a notch across upper edge adjacent spacer 44 so that wire latch is held out of the way of second leg 24 when second leg 24 is to be disengaged from leg With leg 24 properly engaged in leg 26 , notches in members 40 and 42 align with a notch in outer edge of leg 24 and latch can be pivoted to engage notches and , thereby retaining leg 24 in position against leg In this embodiment, the upper portion of outer edge is recessed to better accommodate a sliding latch that engages and is retained by a slot that is formed of opposing members 40 , The recessed joint in the upper portion of outer edge allows edge to be placed against other structures when folding square 20 is used as a sliding bevel.

Sliding latch may have a handle portion suitable for engaging an operator's thumb to facilitate movement of latch slot Sliding latch may also include a lower end that engages a notch in tenon portion on end portion 50 of second leg 24 when end portion 50 is properly positioned relative to upper portion 46 of third leg 26 and sliding latch is pushed downward to be received within notch Upward motion of sliding latch moves lower end out of notch allowing end portion 50 , and, thereby, second leg 24 to break away or otherwise be separated from third leg This latch mechanism is similar to the switch on a conventional flashlight.

In a last embodiment of the latching joint, as illustrated by FIGS. A corresponding notch is formed within end portion 50 of second leg Although this joint mechanism is relatively simple to manufacture, over time, wear can cause the joint to have some undesirable play when the tenon is received into notch This can cause misalignment of the two ends of the second and third legs such that the resulting angle is not a true 90 degrees.

However, this embodiment may be the most cost-effective. The latching joint 47 that holds second leg 24 and third leg together is released and second leg 24 is pivoted inward as indicated by the arrow in FIG. First leg 22 can be moved outward from third leg 26 to allow end 50 portion to clear spacer First leg 22 is then pivoted toward third leg 26 as indicated by the arrow in FIG.

Second and first legs 24 and 22 slide between opposing members 40 and 42 of third leg 26 until second leg 24 bumps against spacer Thumb screw 36 is then loosened sufficiently that third leg 26 can slide along slot 34 as indicated by the arrow in FIG.

This allows third leg 26 to pivot so that it is substantially aligned with first and second legs 22 and 24 as shown in FIG. Thumb screw is then tightened to keep folding square 20 in its compact form for storage. Length markings such as inches or centimeters can be provided along leg 24 and across end of first leg Angle measurements are preferably marked along outer edge of first leg The folding square 20 can be made out of any suitable material such as cast aluminum, stamped steel, or man-made materials e.

Injection molded plastic provides a low cost manufacturing where certain elements can be eliminated, such as rivets 48 or spring-detent 72 , if the square and spacer and detent are integrally formed.

It provides a single tool that performs the function of a conventional carpenter square for layout work, rafter cuts, and angle marking, as well as that of a sliding bevel to register both inside and outside angles on existing construction.

The tool folds into a compact form for easy storage and carrying in a toolbox or tool belt. The illustrated embodiments are only examples of the present invention and, therefore, are non-limitive. It is to be understood that many changes in the particular structure, materials, and features of the invention may be made without departing from the spirit and scope of the invention. Therefore, it is the Applicant's intention that his patent rights not be limited by the particular embodiments illustrated and described herein, but rather by the following claims interpreted according to accepted doctrines of claim interpretation, including the Doctrine of Equivalents and Reversal of Parts.

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The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: garage body 1 is including staircase , air inlet fan , exhaust fan , filter screen panel and bolt , and garage body 1 side is provided with staircase , garage body 1 right side is provided with air inlet fan , and is provided with exhaust fan on the left of garage body 1 , exhaust fan and air inlet fan outside all are provided with filter screen panel , and filter screen panel and pass through bolt installation to be fixed on garage body 1.

The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the light sensor 4 , the first motor 5 and the controller 32 are electrically connected, and the controller 32 is arranged in the warehouse top frame 2.

The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the first motor 5 , the first bevel gear set 6 , the first transmission shaft 7 , the worm 8 , the worm wheel 9 and the rotating shaft 10 form a rotating mechanism. The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the structure of the vehicle inlet table 18 , the structure of the vehicle outlet table 19 and the structure of the vehicle storage table 21 are the same, and the vehicle inlet table 18 , the vehicle outlet table 19 , the structure of the vehicle storage table 21 and the L-shaped limiting frame 31 are connected in a sliding mode.

The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the support rods 20 are distributed in the garage body 1 in an annular array shape, and the vehicle storage platforms 21 are distributed on each support rod 20 at equal intervals.

The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the second motor 22 , the rotating shaft 23 , the second bevel gear set 24 , the second transmission shaft 25 and the rotating platform 26 form a rotating mechanism, and fixing rods 27 are symmetrically arranged on the rotating platform The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: remove frame 30 including casing , third motor , third bevel gear group , third transmission shaft , removal wheel and electro-magnet , and casing sliding connection is on removing frame 30 , casing upper end is provided with third motor , and third motor lower extreme is connected with third transmission shaft through third bevel gear group , third transmission shaft outer end runs through casing inside wall and is connected with removal wheel , and casing front side is provided with electro-magnet The rotary type three-dimensional intelligent parking garage according to claim 1, wherein: the L-shaped limiting frame 31 comprises an iron sheet , a first baffle plate , a right-angle trapezoidal block , a second baffle plate and an inclined stop block , the iron sheet is arranged on the rear side of the L-shaped limiting frame 31 , the first baffle plate and the right-angle trapezoidal block are arranged at the upper end of the L-shaped limiting frame 31 , the first baffle plate is arranged on the outer side of the right-angle trapezoidal block , the second baffle plate and the inclined stop block are arranged at the upper end of the L-shaped limiting frame 31 , the second baffle plate is arranged on the outer side of the inclined stop block , and the second baffle plate is arranged on the front side of the first baffle plate CNA en.

Each chord defines a unique circuit loop called the fundamental circuit or f-circuit. Kinematic equations can be formulated by the use of f-circuits in a systematic way. However there are a number of different approches in the literature to formulate both the kinematic and the dynamic equations of mechanical systems [7—10]. More recent survey in the area of multibody dynamics has appeared in a book [11].

In this paper a different method, called the network model approach [1] is used for the kinematic analysis of mechanisms containing bevel-gear train where a mechanism is considered as a mechanical multi-terminal component a sub-system.

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.