This document relates, generally, to truss structures.
A truss structure may include a plurality of load bearing members, or force members, that are joined at a plurality of nodes to define a load bearing structure. A truss structure may be employed in situations in which a support structure is to bear a considerable load across a relatively extensive span, and in a situation in which weight of the support structure itself may affect the performance of the support structure.
In one aspect, a three-dimensional (3D) load bearing structure may include a longitudinal frame, the longitudinal frame including a plurality of longitudinal members extending in a longitudinal direction along a length of the load bearing structure, and a transverse frame integrally coupled with the longitudinal frame, the transverse frame including a plurality of transverse members defining a plurality of 3D polyhedral structures incrementally positioned along the longitudinal length of the load bearing structure. A cross-sectional shape of each of the plurality of longitudinal members may be triangular, and a cross-sectional shape of each of the plurality of transverse members may be triangular.
The details of one or more implementations are set forth in the accompanying drawings and the description below. Other features will be apparent from the description and drawings, and from the claims.
A truss structure may include a plurality of load bearing members joined at a plurality of nodes, and arranged so that the assembled plurality of load bearing members act together, as a single load bearing structure. In some implementations, the load bearing members may be arranged, and joined at the plurality of nodes, so that the load bearing members and nodes are positioned in multiple different planes, defining a three dimensional truss structure. In some implementations, a plurality of longitudinal members may provide for bending and axial strength of the truss structure, and a plurality of transverse members may carry shear and torsional forces applied to the truss structure.
A truss structure, in accordance with implementations described herein, may include a plurality of longitudinal members extending along a longitudinal length of the truss structure. A plurality of transverse members may extend between the longitudinal members. The transverse members define one or more tetrahedral shapes. Portions of the transverse members defining these tetrahedral shapes may be respectively joined to the longitudinal members at a plurality of nodes, to form a lattice type truss structure. In some implementations, the plurality of longitudinal members and the plurality of transverse members may be formed by a series of interwoven fibers, for example, carbon fibers, impregnated with epoxy. The interweaving of these fibers, particularly at the nodes, may join the longitudinal members and the transverse members. This interweaving at the nodes may provide for structural integration of the longitudinal members and the transverse members.
An example truss structure 100, in accordance with implementations described herein, is shown in
The example truss structure 100 may include a plurality of longitudinal members 110 extending axially, along a length L of the truss structure 100. The plurality of longitudinal members 110 may define a longitudinal frame portion of the truss structure 100. This longitudinal frame defined by the plurality of longitudinal members 110 may carry an axial load portion of a force exerted on, or a load borne by the truss structure 100. The example truss structure 100 shown in
The plurality of longitudinal members 110 defining the longitudinal frame portion of the truss structure 100 may be arranged in parallel to each other, and in parallel with the central longitudinal axis A of the truss structure 100. The arrangement of the longitudinal members 110 may be symmetric about any one of a plurality of different central planes extending through the central longitudinal axis A of the truss structure 100. The exemplary central plane B extending through the central longitudinal axis A of the truss structure 100 shown in
The longitudinal members 110 of the truss structure 100 may carry an axial, or compressive, or bending load applied to the truss structure 100. The transverses members 120 may provide reinforcement to the longitudinal members, to provide buckling resistance to the longitudinal members 110. In some situations/arrangements, the transverse members 120 carry a torsional component of the load applied to the truss structure 100.
The example truss structure 100 may include a plurality of transverse members 120. The plurality of transverse members 120 may define a transverse frame portion of the truss structure 100. This transverse frame portion of the truss structure 100 defined by the plurality of transverse members 120 may carry a torsional load portion of a force exerted on, or a load borne by the truss structure 100. The transverse frame may be coupled to, or joined with, or intersect, or be integrally formed with, the longitudinal frame to form the truss structure 100. That is, the transverse members 120 may be coupled to, or joined with, or intersect, or be integrally formed with, the longitudinal members 110 at a respective plurality of nodes 150.
In some implementations, the transverse members 120 may be disposed in a helical arrangement with respect to the longitudinal members 110 defining the longitudinal frame. For ease of discussion and illustration,
As noted above,
As shown in
In the example arrangement shown in
As noted above, the number of longitudinal members 110 and corresponding number of helical structures 130 (each defined by transverse members 120 arranged end to end) of a particular truss structure may vary based on, for example, an amount of load to be borne by the truss structure, a type of load, a distribution of load, a particular application and/or installation and/or environment in which the truss structure is to be used, and other such factors. In some situations, a truss structure including eight longitudinal members 110 may provide increased rigidity when compared to a truss structure including six longitudinal members 110. A mass of the truss structure including eight longitudinal members 110 may be positioned further (radially outward) from the central longitudinal axis A of the truss structure, when compared to the truss structure including six longitudinal members 110, resulting in a comparatively greater moment of inertia for the truss structure including eight longitudinal members 110. In some arrangements, in the truss structure including eight longitudinal members 110, the helical structures 130 maybe positioned further from the central longitudinal axis A than in the truss structure including six longitudinal members 110, providing for a comparatively greater torque carrying capability for the truss structure including eight longitudinal members 110.
In some implementations, a truss structure including eight longitudinal members 110 positioned at the outer peripheral portion of the truss structure may exhibit as much as 70% greater stiffness, or rigidity, than a comparably sized truss structure including six longitudinal members 110. In some implementations, a truss structure including eight longitudinal members 110 may exhibit as much as 40% to 50% greater torque capacity than a comparably sized truss structure including six longitudinal members 110.
In some implementations, the longitudinal members 110 and the transverse members 120 are joined at a straight portion of the transverse member 120. For example, in some implementations, the nodes 150 (at which the longitudinal members 110 and the transverse members 120 are joined) may occur at a straight portion of the helical structure 130 (i.e., a straight portion of the corresponding transverse member 120), where the helical structure 130 does not change direction, rather than at a portion of the helical structure 130 at which one transverse member 120 is joined to the next adjacent transverse member 120 and the contour of the helical structure 130 changes direction. Connection of the transverse members 120 and the longitudinal members 110 at respective straight portions of the transverse members 120 may enhance the reinforcement of the buckling strength, or buckling resistance, of the longitudinal members 110, and thus enhance the overall strength, and buckling resistance, of the overall truss structure 100. Buckling strength of the truss structure 100 may also be affected by a distance between nodes 150 along a longitudinal member 110. That is, buckling strength, or buckling resistance, of the longitudinal member 110, and of the overall truss structure 100, may be further enhanced, or increased, as a distance d (see
In some implementations, a material from which the longitudinal members 110 and/or the transverse members are made may be selected, taking into account various different characteristics of the material (such as, for example, strength, weight, cost, availability and the like), together with required characteristics of the truss structure 100 (such as, for example, size, load bearing capability and the like). For example, in some implementations, the longitudinal members 110 and/or the transverse members 120 may be made of a carbon type material, a glass type material, a basalt type material, a kevlar type material, and other such materials.
The truss structure 100 including longitudinal members 110 and/or transverse members 120 made of, for example, a carbon fiber material may be relatively light in weight relative to, for example, a comparable support structure made of, for example, a metal material such as steel, while being capable of bearing the same (or a greater) load than the comparable support structure made of a metal material. In another comparison, the truss structure 100 including longitudinal members 110 and/or transverse members 120 made of this type of carbon fiber material may be considerably stronger than, for example, a comparable support structure made of, for example, a metal material, of essentially the same weight and/or size. For example, in some implementations, the truss structure 100 including longitudinal members 110 and/or transverse members 120, structured in the manner described herein, and made of this type of carbon fiber material, may be approximately ten times stronger, than a steel tube of essentially the same weight.
A truss structure 100, in accordance with implementations described herein, may garner a considerable increase in strength from the material used for the longitudinal members 110 and/or the transverse member 120, in combination with the geometric structure defined by the arrangement of the longitudinal members 110 and the transverse members 120, and/or the geometric structure of the longitudinal members 110 and/or the transverse members 120 themselves.
In some implementations, a cross sectional shape of one or more of the longitudinal members 110 may be substantially triangular. In some implementations, a cross section of one or more of the longitudinal members 110 may be defined by another shape. For example, in some implementations, the cross sectional shape of one or more of the longitudinal members 100 may be circular, elliptical, square, rectangular, trapezoidal, and the like. In some implementations, all of the longitudinal members 100 may have substantially the same cross sectional shape. In some implementations, a cross sectional shape of one or more of the transverse members 120 may be substantially triangular. In some implementations, a cross section of one or more of the transverse members 120 may be defined by another shape. For example, in some implementations, the cross sectional shape of the one or more of the transverse members 120 may be circular, elliptical, square, rectangular, trapezoidal, and the like. In some implementations, all of the transverse members 120 may have substantially the same cross sectional shape. In some implementations, the cross sectional shape of one or more of the longitudinal members 110 may be substantially the same as the cross sectional shape as one or more of the transverse members 120. In some implementations, the longitudinal members 110 and the transverse members 120 may have different cross sectional shapes.
Hereinafter, an exemplary truss structure 200 will be described in which the longitudinal members 110 have a triangular cross sectional shape. In some implementations, the transverse members 120 of this exemplary truss structure 200 may also have a triangular cross sectional shape.
Various views of the example truss structure 200 are shown in
As shown in
An example of a method 500 of joining the longitudinal member(s) 110 and the transverse member(s) 120, or forming node(s) 150 at the intersection of the longitudinal member(s) 110 and the transverse member(s) 120 by, for example, an interweaving and/or braiding of strands or fibers of materials of the longitudinal member(s) 110 and transverse member(s) 120, is shown in
For example, in some implementations, the method 500 may include forming a first section of the node 150 (block 510). In some implementations, the first section of the node 150 may include an interweaving of strands or fibers from the material of the first member with strands or fibers from the material of the second member. For example, the first section may include an interweaving of (a portion of) strands from the first member with (a portion of) strands from the second member. In some implementations, a second section of the node 150 may be formed adjacent to the first section of the node 150 (block 520). In some implementations, the second section may include an arrangement of (a portion of) the strands of the second member (either alone, or together with a portion of the strands of the first member) adjacent to the first section. In some implementations, a third section of the node 150 may be formed adjacent to the second section of the node 150 (block 530). In some implementations, the third section may include an interweaving of a (remaining) portion of the strands of the first member with a (remaining) portion of the strands of the second member. The layering of adjacent sections of the node 150 may include more, or fewer sections than discussed in this example, and/or different combinations of interwoven strands of the first and second members, and/or different sequencing of the strands of the first and second members. The layering of adjacent sections of the node 150 with strands of material from the first member and the second member may continue until it is determined that all of the strands of material have been incorporated into the node 150 (block 540). In some implementations, tension, or a pulling force, or pressure, may be applied to the layers or sections of material arranged in this manner to, for example, facilitate the reduction and/or elimination of voids. In some implementations, for example, when the material of the first member and/or the second member is pre-impregnated with an epoxy/resin material, the may then be processed, for example, heated, or cured, to join the first member and the second member in an interwoven, or integral manner (block 550).
An example node 150, joining a longitudinal member 110 and a transverse member 120 (of one of the helical structures 130 of the truss structure 200), is shown in
In a first, non-limiting example of this type of alternating arrangement of the fibers, or strands, of the longitudinal members 110 and the transverse members 120 at the node 150 may include a weaving of approximately 25% of the strands of the longitudinal member 110 with approximately 50% of the stands of the transverse member 120, followed by approximately 50% of the strands of the longitudinal member 110, and then followed by a weaving of the remaining approximately 25% of the strands of the longitudinal member 110 with the remaining approximately 50% of the strands of the transverse member 120. This is just one example of an alternating arrangement of the strands of the material longitudinal members 110 and strands of the material of the transverse members 120 at the node 150. Other combinations of alternating carbon fiber material at the nodes 150 may also be used, based on, for example, a size and/or shape and/or configuration of the truss structure 200, a type of material used for the longitudinal members 110 and/or the transverse members 120, a load to be carried by the truss structure 200, a geometric configuration of the helical structures 130, a cross sectional shape of the transverse members 120, and other such factors.
For example, in a second, non-limiting example of this type of alternating arrangement of the fibers, or strands, of the longitudinal members 110 and the transverse members 120 at the node 150 may include a relatively straightforward, consistent, repeated alternating arrangement of the strands of the longitudinal member 110 and the strands of the transverse member 120 at the node 150. This could include, for example, an arrangement at the node 150 of a strand from the longitudinal member 110 followed by a strand from the transverse member 120, and then another strand from the longitudinal member 110 followed by another strand from the transverse member 120, repeating this pattern until all of the strands of the longitudinal member 110 and all of the strands of the transverse member 120 have been incorporated at the node 150. This example pattern is not necessarily limited to a repeated alternating pattern of a single strand from the longitudinal member 110, followed by a single strand from the transverse member 120. Rather, this example pattern could include a repeated alternating pattern of multiple strands from the longitudinal member 110 followed by (the same number of) multiple strands from the transverse member 120.
The first and second examples presented above may be applied in an arrangement in which, for example, a number of tows, or strands, in the helical structures 130 formed by the transverse members 120 would be half that of the longitudinal members 110. For example, the example (completed) truss structure illustrated in
As noted above, these are just some examples of alternating arrangements of the strands of the longitudinal members 110 and the transverse members 120 (forming the helical structures 130) at the node 150. Other combinations of alternating carbon fiber material at the nodes 150 may also be used, based on, for example, a size and/or shape and/or configuration of the truss structure 200, a type of material used for the longitudinal members 110 and/or the transverse members 120 forming the helical structures 130, a load to be carried by the truss structure 200, a geometric configuration of the helical structures 130, a cross sectional shape of the transverse members 120, and other such factors.
In some implementations, the fibers, or strands of material may be suspended from a manufacturing apparatus and into the manufacturing space. The strands of material may be secured, or suspended, for example at one end by hooks, pins, or the like, allowing the strands to be interwoven, or braided, or otherwise arranged while suspended. In some implementations, tension, or pressure, may be applied, to provide for the compaction of the material and eliminate voids between the strands. The strands may be processed, for example, heated or cured, to fix the arrangement of strands and achieve the resulting integral structure of the truss structure 200. In some implementations, the carbon fiber material may be pre-impregnated (pre-preg) with an epoxy resin material. Interwoven arrangement of the strands of pre-preg carbon fiber material, and compaction of the material, in the manner described above, and/or curing, or heating, of the pre-preg carbon fiber material, may produce longitudinal member(s) 110 and/or transverse member(s) 120 and/or nodes 150 having relatively low void ratios along the length of the truss structure 200. As noted above, in some implementations, grooves 320 (for example, a series of grooves 320) in the manufacturing fixture 300 defining the longitudinal member(s) 110 and/or the transverse member(s) 120 and/or the nodes 150 at which the longitudinal member(s) 110 and the transverse member(s) 120 intersect, may have a V shape, as shown in
In some implementations, longitudinal members 110 having a triangular cross sectional shape may be produced using less material than longitudinal members 200 having other cross sectional shapes (for example, circular or rectangular/square cross sectional shapes), while providing at least equal, and in most circumstances, greater load bearing capability. The unexpected increase in load bearing capability provided by the longitudinal members 110 having the triangular cross section described above, when compared to truss structures with longitudinal members having other cross sectional shapes, is illustrated in Table 1 below. In particular, in one example, a truss structure with longitudinal members having a square cross section exhibited approximately 4.7% more load bearing capability than a comparable truss structure with longitudinal members having a circular cross section. In one example, a truss structure with longitudinal members having a triangular cross section exhibited approximately 20.9% more load bearing capability than comparable a truss structure with longitudinal members having a square cross section. This significant, and unexpected, magnitude of improvement exhibited by the truss structure 200 with longitudinal members 110 having a triangular cross section may be due to improved local buckling resistance (buckling between two adjacent nodes 150 along a longitudinal member 110) and increased moment of inertia.
As noted above, one mode of failure of a truss structure 100 in accordance with implementations described herein may include buckling of individual longitudinal members 110. The ability of an individual longitudinal member 110 to resist bending and/or buckling may be directly proportional to an area moment of inertia of the longitudinal member. That is, by increasing moment of inertia, stiffness may be increased, thus reducing deflection of the truss structure under a given load. Table 1 below illustrates the difference in area moment of inertia for three different exemplary longitudinal members 110, each having a different cross sectional shape (i.e., circular, triangular, and square), holding an amount of material, of the cross sectional area, of the longitudinal members 110 constant for the three examples. As shown in Table 1, a longitudinal member having a triangular cross section may exhibit an increase in area moment of inertia of approximately 20.9% (compared to a longitudinal member 110 having a circular cross section of the same cross sectional area), affording the longitudinal member 110 having the triangular cross section an approximately 20.9% improvement in buckling strength over the longitudinal member 110 having the circular cross section. Similarly. Similarly, a longitudinal member having a square cross sectional shape may exhibit an approximately 4.7% improvement in buckling resistance over a longitudinal member 110 having a circular cross section.
In the example truss structure 200 described above, the longitudinal members 110 have a triangular cross sectional shape. In some implementations, all of the longitudinal members 200 have a triangular cross sectional shape. In some implementations, some, or all, of the transverse members 120 defining the helical structures 130 have a triangular cross sectional shape. In some implementations, some, or all, of the transverse members 120 defining the helical structures 130 have a cross sectional shape that is different than the triangular cross sectional shape of the longitudinal members 110.
Hereinafter, a truss structure 400, in accordance with implementations described herein, may include a plurality of longitudinal members 110 positioned along an outer peripheral portion of the truss structure 400, will be described with reference to
In the example truss structure 400 shown in
Regardless of the cross sectional shape of the longitudinal members 110, positioning of the longitudinal members 110 at the outer peripheral portion of the truss structure 400 may increase overall strength (for example, buckling resistance) of the truss structure 400, and may increase moment of inertia of the truss structure 400. Overall strength of the truss structure 400 may be further enhanced based on a type of material used for the longitudinal members 110 and/or the transverse members 120, as described in detail above. Overall strength of the truss structure 400 may be further enhanced by the improved compaction, and improved void ratio, afforded by the triangular cross sectional shape as described above. Increased strength of the truss structure 400 may enhance utility of the truss structure 400, provide for use of the truss structure 400 in a variety of different environments, and expand on applications for use of the truss structure 400.
In the foregoing disclosure, it will be understood that when an element, such as a layer, a region, or a substrate, is referred to as being on, connected to, or coupled to another element, it may be directly on, connected or coupled to the other element, or one or more intervening elements may be present. In contrast, when an element is referred to as being directly on, directly connected to or directly coupled to another element or layer, there are no intervening elements or layers present. Although the terms directly on, directly connected to, or directly coupled to may not be used throughout the detailed description, elements that are shown as being directly on, directly connected or directly coupled can be referred to as such. The claims of the application may be amended to recite exemplary relationships described in the specification or shown in the figures.
As used in this specification, a singular form may, unless definitely indicating a particular case in terms of the context, include a plural form. Spatially relative terms (e.g., over, above, upper, under, beneath, below, lower, and so forth) are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. In some implementations, the relative terms above and below can, respectively, include vertically above and vertically below. In some implementations, the term adjacent can include laterally adjacent to or horizontally adjacent to.
While certain features of the described implementations have been illustrated as described herein, many modifications, substitutions, changes and equivalents will now occur to those skilled in the art. It is, therefore, to be understood that the appended claims are intended to cover all such modifications and changes as fall within the scope of the implementations. It should be understood that they have been presented by way of example only, not limitation, and various changes in form and details may be made. Any portion of the apparatus and/or methods described herein may be combined in any combination, except mutually exclusive combinations. The implementations described herein can include various combinations and/or sub-combinations of the functions, components and/or features of the different implementations described.
This application claims priority to U.S. Provisional Application No. 62/467,656, filed on Mar. 6, 2017, the disclosure of which is incorporated by reference herein in its entirety. This application is related to the application filed under Attorney Docket No. 0128-008001, filed on Mar. 6, 2018, the disclosure of which is incorporated by reference herein in its entirety.
Number | Date | Country | |
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62467656 | Mar 2017 | US |