The subject matter described herein relates to predicting fabric edge rolling and folding behaviors of a textile or fabric design. More particularly, the subject matter described herein relates to a modular tool for design of self-folding knit fabrics.
In the areas of textile and fabric design, it is desirable to predict the mechanical deformation behaviors, such as folding or edge rolling behaviors of a physical design before putting the design into production. One method for determining the mechanical deformation behaviors of a textile or fabric design is to produce a limited quantity of articles with the design, observe the resulting fabric, measure the mechanical deformation behaviors, make changes, and repeat the process until desired mechanical deformation behaviors are achieved. Such a trial and error process is inefficient and increases cost and time for textile or fabric production.
Accordingly, in light of these and other difficulties, there exists a need for improved methods, systems, and computer readable media for predicting mechanical deformation behaviors of a textile or fabric design.
Using basic knit stitches, knit and purl (which may also be referred to as face and reverse stitches or front and back stitches), complex self-folding and buckling behaviors can be produced as a result of fabric relaxation and of the knit and purl stitch transition forces. To date, commercially available modeling software is unable to accurately model and predict this behavior based on a given pattern of knit and purl stitches.
The tool described here was developed to overcome this challenge and allow for prediction of self-folding behaviors in weft knits.
The subject matter described herein consists of a visual design tool that can be used to predict the outcome of self-folding fabrics made using knit and purl stitches. Specifically, it is a tool that can be used to predict or reverse engineer three dimensional knit structures that are origami-like.
This tool is used to create a visual representation of self-folding in knit and purl stitch patterns that will help the user understand and predict the edge rolling deformation, torque and folding behaviors that will occur in the physical fabric.
The user can input measured fabric properties, such as the stitch aspect ratio, to determine the initial geometry of a desired stitch pattern. The user can lay out the knit and purl pattern, stitch by stitch.
The tool then applies indicators to the stitch pattern, to demonstrate the self-folding behavior that will occur. Multiple types of indicators can be applied, as needed to indicate different deformation behaviors. For example, two types can be used to indicate a) edge rolling deformation behaviors that occur at the transitions from knit to purl stitches, b) folding deformations that traverse through segments of knit and purl stitches, producing folding similar to the “mountain and valley” folds of origami.
The tool can further input the measured ratio of horizontal vs vertical knit to purl transition folding forces, if known, to scale the impacts of the knit and purl segments and further approximate the final outcome of the fabric.
Both with and without the folding forces scaling factor, this tool provides a visual representation of the direction of deformation at each zone of transition between stitch types and the folding that occurs as a result of fabric buckling and deformation, indicating whether it is into or out of the plane.
Our approach provides a method of predicting fabric folding and deformation behaviors that is less computationally complex than typical methods pursued. This system does not depend on modeling of individual loops, instead it models the boundary condition behaviors and internal deformation behaviors of macroscale components of stitches, allowing for homogenization of the internal fabric plane. Furthermore, this system was developed on fundamental understanding of boundary condition behaviors (when a stitch transitions form knit to purl and vice versa) that will always occur, regardless of material or method used to fabricate the weft knit structure. Therefore, the folding and other deformation behavior of knit and purl stitch patterns can be predicted accurately without the need to measure or understand the yarn properties or other fabrication variables.
Additionally, this is to our knowledge the only tool being developed to predict the outcome of self-folding knit and purl stitch patterns. Therefore, this provides an advantage over the current method of trial and error.
A method for designing a knitted textile or fabric, the method includes receiving graphical input from a user regarding a knit pattern comprised of different types of individual stitches to be included in a textile or fabric design. The method further includes graphically displaying a representation of the textile or fabric design. The method further includes merging sections of continuous stitches of the same type into at least one block. The method further includes graphically displaying the textile or fabric design as a pattern of the at least one block. The method further includes applying edge rolling and/or folding indicators to the displayed pattern of the at least one block, where the edge rolling and/or folding indicators respectively and graphically illustrate predicted edge rolling and folding behaviors of a physical textile or fabric.
As used herein, the term “edge” when applied to a textile or fabric refers to border where the textile or fabric terminates. The term “edge rolling indicator” refers to a graphical indicator that indicates how a textile or fabric will roll along an edge. The term “folding indicator” refers to a graphical indicator that indicates how a fabric will fold at a location other than an edge.
According to another aspect of the subject matter described herein, receiving graphical input from the user regarding the knit pattern, stitch geometry, and stitch type includes receiving input from the user regarding knit and purl stitches to be included in the textile or fabric design.
According to another aspect of the subject matter described herein, applying the edge rolling and/or folding indicators includes applying the indicators to non-oblique oriented edges of blocks of knit and purl stitches.
According to another aspect of the subject matter described herein, applying the edge rolling and/or folding indicators comprises applying the edge rolling indicators to edges of blocks of knit and purl stitches that are oriented at oblique angles with respect to a course or wale direction and applying the folding indicators at non-oblique angles with respect to the course or wale direction along longest continuous segments of knit or purl stitches.
According to another aspect of the subject matter described herein, applying the edge rolling and/or folding indicators includes automatically applying the edge rolling and/or folding indicators using rules for placement of the edge rolling and/or folding indicators.
According to another aspect of the subject matter described herein, applying the edge rolling and/or folding indicators includes receiving user input for graphically placing the edge rolling and/or folding indicators on the displayed pattern.
According to another aspect of the subject matter described herein, the method for designing a textile or fabric includes determining scaled dimensions of the at least one block according to measured or predicted forces driving edge rolling and/or folding behavior.
According to another aspect of the subject matter described herein, the method for designing a textile or fabric includes graphically displaying the pattern including the at least one block scaled according to the determined scaled dimensions.
According to another aspect of the subject matter described herein, a system for designing a knitted textile or fabric is provided. The system includes a computing platform including at least one processor and a memory. The system further includes a fabric design tool comprising computer executable instructions stored in the memory and executable by the at least one processor for receiving graphical input from a user regarding a knit pattern comprised of different types of individual stitches to be included in a textile or fabric design, graphically displaying a representation of the textile or fabric design, merging sections of continuous stitches of the same type into at least one block, graphically displaying the textile or fabric design as a pattern of the at least one block, applying edge rolling and/or folding indicators to the displayed pattern of the at least one block, where the edge rolling and/or folding indicators respectively and graphically illustrate predicted edge rolling and folding behaviors of a physical textile or fabric.
According to another aspect of the subject matter described herein, a non-transitory computer readable medium having stored thereon executable instructions that when executed by the processor of a computer control the computer to perform steps is provided. The steps include receiving graphical input from a user regarding a knit pattern comprised of different types of individual stitches to be included in a textile or fabric design. The steps further include graphically displaying a representation of the textile or fabric design. The steps further include merging sections of continuous stitches of the same type into at least one block. The steps further include graphically displaying the textile or fabric design as a pattern of the at least one block. The steps further include applying edge rolling and/or folding indicators to the pattern of the at least one block. The steps further include scaling a graphical representation of the pattern based on measured or predicted forces on the pattern. The steps further include graphically displaying a scaled representation of the pattern to illustrate predicted edge rolling and folding behaviors of a physical textile or fabric.
The subject matter described herein can be implemented in software in combination with hardware and/or firmware. For example, the subject matter described herein can be implemented in software executed by a processor. In one exemplary implementation, the subject matter described herein can be implemented using a non-transitory computer readable medium having stored thereon computer executable instructions that when executed by the processor of a computer control the computer to perform steps. Exemplary computer readable media suitable for implementing the subject matter described herein include non-transitory computer-readable media, such as disk memory devices, chip memory devices, programmable logic devices, and application specific integrated circuits. In addition, a computer readable medium that implements the subject matter described herein may be located on a single device or computing platform or may be distributed across multiple devices or computing platforms.
The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee.
Examples and implementations of the subject matter described herein will now be explained with reference to the accompanying drawings, of which:
According to one aspect of the subject matter described herein, a software-implemented tool is provided that graphically displays to a user representations of knit and purl stitches, allows the user to build a virtual textile or fabric design using the stitches, and, based on the arrangement of the stitches, predicts the edge rolling and folding behaviors of a physical textile or fabric design having the same stitch patterns as the virtual textile or fabric design.
In one implementation, the tool is created in Adobe Illustrator and enables a user to design a fabric and predict edge rolling and folding behaviors though the following process.
The tool scales the dimension of these blocks to reflect the real stitch dimensions, using a measured fabric gauge, via the equation:
Where A is the aspect ratio of the stitch dimensions. The width of the pattern block is then multiplied by A, to produce the scaled stitch representation blocks.
Please note: Knit and purl stitches are structurally symmetrical (i.e., the back of knit stitch is a purl stitch, and the back of a purl stitch is a knit stitch.) The side from which they are viewed determines their nomenclature and appearance.
All edge rolling indicators will be placed such that the small curves at the edge perfectly intersect the corner of the knit or purl segment, and then the linear segment is scaled to fully connect the top and bottom or left and right sides of the edge rolling indicator.
Where the required force to start unrolling a horizontal knit to purl transition is FH is and the required force to start unrolling a vertical knit to purl transition is Fv, and R is the ratio of horizontal to vertical folding.
This ratio is then applied to purl segments to scale, multiplying the height of the segment by R, to produce a modified segment that more accurately reflects the level of deformation that causes the purl to curl over the knit at horizontal boundaries. The scaling ratio is applied in this way to reflect the experimentally determined fact that proportionally, folding at horizontal knit to purl transitions is always stronger than folding at vertical knit to purl transitions.
The edge rolling indicators and folding indicators are adjusted also, such that their end points remain tethered to their original location and the linear segment moves in unison with the underlying pattern piece. The curve of the end pieces then adjusts to join back into the linear segment.
This tool demonstrates a representation of the self-folding behavior of one face of the fabric at a time. In cases where the knit and purl stitch pattern is symmetrical, only one face needs to be mapped to understand the resulting behavior of both sides of the fabric (such as in “Example of Tool Applied_Pattern #1” and “Example of Tool Applied_Pattern #3”) (described below). In other cases, both faces of the fabric need to be mapped separately in order to understand the resulting behavior of both the front and back of the fabric (such as in “Example of Tool Applied_Pattern #2”).
Step 4) in the Case of Patterns with Angles Other than 0 or 90 (Oblique Angles)
In step 4 above, the user applies horizontal and vertical edge rolling indicators to a virtual fabric. The tool described herein also allow predicting of fabric edge rolling and folding behaviors for cases where the edge rolling indicators are applied at oblique angles, such as where knit and purl stitches meet on at 45 degree boundary in a virtual fabric. Again, the user would apply edge rolling indicators and then delineate the folding indicators by adhering to the rules laid out in the tables in
Mountain fold indicators demonstrate where the fabric will fold upwards. Valley fold indicators demonstrate where the fabric will fold downwards.
The following examples illustrate application of the tool to various stitch patterns.
Example #1 of The Tool Applied to a Knit and Purl Stitch Pattern
The application of the tool to a virtual fabric with only horizontal and vertical transitions is shown in
Example #2 of The Tool Applied to a Knit and Purl Stitch Pattern
Example #3 of The Tool Applied to a Knit and Purl Stitch Pattern
Self-folding occurs as a result of boundary condition behaviors in knit and purl stitch transitions. The folding behavior in the horizontal knit to purl transitions is dominant over the folding behavior in the vertical knit to purl transitions regardless of the fabrication parameters used to produce the fabric.
To begin to understand the self-folding behavior of complex knit and purl stitch structures, it is necessary to first observe the plain weft knit fabric, that is, one made of all knit stitches on the technical front and all purl stitches on the technical back. A characteristic edge rolling behavior occurs in all plain knit fabrics, regardless of material or method of manufacture. An example of a plain knit fabric is shown in
This effect is magnified in one direction when a fabric is produced where the number of courses far exceeds the number of wales, or vice-versa.
By understanding these fundamental behaviors of plain knit segments, it can then be demonstrated that behavior of all knit and all purl segments, when added together into a single side of a fabric, produce dimensional changes at the boundaries through interacting edge rolling behaviors. These result in out of plane deformation, or “folding”.
Similar behavior occurs with a vertically oriented boundary between knit and purl.
As previously described, all knit and purl structures can be created at the individual stitch level by transitioning horizontally or vertically between knit and purl stitches on the same side of the fabric.
Using these concepts, the developed modular tool for design of self-folding knit fabrics can be used to predict the directions of the folds and how they interact to produce more complex behaviors such as torque. By understanding that the folding behavior occurs as a result of competition between boundary condition deformations, “puzzle pieces” were developed to diagrammatically represent the generalized behavior of segments of all knit or all purl stitches. These puzzle pieces represent an all knit or all purl segment with its appropriate curling behavior at the side, top or bottom edge using saddle shape geometries to represent boundary conditions (
These modeling pieces can be rescaled as needed, according to the particular stitch pattern used. When these pieces are fit together, such as in a horizontal or vertical transition from knit to purl, they clearly indicate the direction of folding that occurs in the real textile samples (
By mapping these pieces over increasingly complex stitch patterns, more complex behaviors can be understood before manufacturing. A checkerboard pattern of knit and purl segments, as seen in
Additional information regarding how different planes of the fabric will form is also indicated. The series of
To further increase the accuracy in prediction of specific folding behaviors described above, mechanical characterization data can be incorporated, if available, into the tool. This allows the user to predict how the ratio of physical folding forces in the horizontal and vertical directions between knit and purl will affect the resulting fabric. This ratio will differ based on a variety of manufacturing parameters such as yarn material, and machine gauge. This ratio can be determined by measuring the forces required to unfold samples with isolated horizontal knit to purl transitions and comparing with the forces required to unfold samples with isolated vertical knit to purl transitions, when proportionally equivalent samples are produced. Specific methods for measuring these horizontal to vertical folding forces can be found in Chapter 5, Sections 5.3-5.6 of the above-referenced provisional patent application. Further details on how to predict the ratio of horizontal to vertical folding forces without excessive sample testing are detailed in Chapter 7, Section 7.3 of the above-referenced provisional patent application.
In step 202, the process includes graphically displaying a representation of the textile or fabric design. For example, fabric design tool 100 may display a graphical representation of stitch patterns selected by the user. An example of such a display is illustrated in
In step 204, the process includes merging sections of continuous stitches of the same type into at least one block. For example, fabric design tool 100 may merge continuous stitches of the same type into blocks. Even though the term “blocks” is used, blocks of continuous stitches may be any geometric shape corresponding to the continuous stitch patterns in the fabric.
In step 206, the process includes graphically displaying the textile or fabric design as a pattern of the at least one block.
In step 208, the process includes applying edge rolling and/or folding indicators to the displayed pattern of the at least one block. For example, fabric design tool 100 may, in one example, automatically add edge rolling and/or folding indicators to the edges and transitions between sections of different types of stitches using the rules in the tables in
In step 210, the process includes determining scaled dimensions of the at least one block based on measured or predicted forces driving edge rolling and/or folding behavior. For example, fabric design tool 100 may predict the edge rolling and folding on the at least one block using the equations described herein and use the measured or predicted forces (magnitudes and directions) to determine the scaling to be applied to the blocks of stitches illustrated in the graphical representation of the textile or fabric. In another example, fabric design tool 100 may use stored measurements of forces from physical fabrics to determine the forces to be used in calculating the scaling to be applied to the dimensions of the displayed fabrics.
In step 212, the process includes graphically displaying the pattern including the scaled representation of the at least one block. For example, fabric design tool 100 may determine scaled display a scaled graphical representation of the textile or fabric, such as the representation illustrated in
It will be understood that various details of the subject matter described herein may be changed without departing from the scope of the subject matter described herein. Furthermore, the foregoing description is for the purpose of illustration only, and not for the purpose of limitation, as the subject matter described herein is defined by the claims as set forth hereinafter.
This application claims the priority benefit of U.S. Provisional Patent Application Ser. No. 63/168,830, filed Mar. 31, 2021, the disclosure of which is incorporated herein by reference in its entirety.
This invention was made with government support under grant number 1537720 awarded by the National Science Foundation and grant number w15QKN-16-3-001 awarded by the United States Army. The government has certain rights in the invention.
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