Equivalent material constant calculation system, storage medium storing an equivalent material constant calculation program, equivalent material constant calculation method, design system, and structure manufacturing method

An equivalent material constant calculation system that calculates an equivalent material constant of a structure constituted by a plurality of materials, comprising:

• a shape data input portion that inputs shape data that expresses the shape of each material constituting the structure,
• a material data input portion that inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing portion that divides the structure into a plurality of small regions, and
• a small region interior calculation portion that calculates equivalent material constants in the small regions,
• wherein the small region interior calculation portion expresses, based on the shape data and material constant data, an equivalent material constant for a region that is part of a small region with a function that includes a value in a variable that expresses a position in at least one direction in the small regions, and calculates equivalent material constants in the small region with respect to the at least one direction using the function, and
• wherein the small region interior calculation portion comprises:
• a minimum region material constant generating portion that further divides the small regions into a plurality of minimum regions along one or more directions, and obtains an equivalent material constant for each minimum region based on the shape data and the material constant data,
• a spectrum calculation portion that obtains a frequency spectrum in each minimum region by performing a Fourier transformation of the distribution of the equivalent material constant of the minimum regions in the small region in one or more directions, and
• an equivalent material constant generating portion that obtains an equivalent material constant for the small region in the one or more directions, based on the frequency spectrum in each of the minimum regions.

A storage medium storing an equivalent material constant calculation program that allows a computer to execute processing that calculates an equivalent material constant of a structure constituted by a plurality of materials, the processing comprising:

• shape data input Processing that inputs shape data that expresses the shape of each material constituting the structure,
• material data input processing that inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• dividing processing that divides the structure into a plurality of small regions, and
• small region interior calculation processing that calculates equivalent material constants in the small regions,
• wherein the small region interior calculation processing expresses, based on the shape data and material constant data, an equivalent material constant in a region that is a portion of a small region with a function that includes a value in a variable that expresses a position in at least one direction in the small regions, and calculates an equivalent material constant for the small region with respect to the at least one direction using the function, and
• wherein the small region interior calculation processing includes:
• boundary function generating processing that sets a coordinate in the direction of one coordinate axis to u in an orthogonal coordinate system that has been set for the structure, and generates, based on the shape data, a boundary function F(u) that expresses a boundary between the materials in a small region,
• section setting processing that sets one or more sections for u in the small region according to a domain of the boundary function F(u),
• section interior calculation processing that creates, in the section, based on the function F(u) and the material constant data, a function that expresses a position where the material constant is applied, and obtains an equivalent material constant of the coordinate axis direction in the section by integrating the function in the section, and
• equivalent material constant generating processing that, based on a section equivalent material constant of each section obtained by the section interior calculation portion, obtains an equivalent material constant of the coordinate axis direction in the small region.

A storage medium storing an equivalent material constant calculation program that allows a computer to execute processing that calculates an equivalent material constant of a structure constituted by a plurality of materials, the processing comprising:

• shape data input processing that inputs shape data that expresses the shape of each material constituting the structure,
• material data input processing that inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• dividing processing that divides the structure into a plurality of small regions, and
• small region interior calculation processing that calculates equivalent material constants in the small regions,
• wherein the small region interior calculation processing expresses, based on the shape data and material constant data, an equivalent material constant in a region that is a portion of a small region with a function that includes a value in a variable that expresses a position in at least one direction in the small regions, and calculates an equivalent material constant for the small region with respect to the at least one direction using the function, and
• wherein the small region interior calculation processing includes:
• minimum region material constant generating processing that further divides a small regions into a plurality of minimum regions along one or more directions, and obtains an equivalent material constant for each minimum region based on the shape data and the material constant data,
• spectrum calculation processing that obtains a frequency spectrum in each minimum region by performing a Fourier transformation of the distribution of the equivalent material constant of the minimum regions in the small region in one or two or more directions, and
• equivalent material constant generating processing that obtains an equivalent material constant for the small region in the one or more directions, based on the frequency spectrum in each of the minimum regions.

An equivalent material constant calculation method that calculates an equivalent material constant of a structure constituted by a plurality of materials using a computer comprising,

• a shape data input step in which a shape data input portion provided by the computer inputs shape data that expresses the shape of each material constituting the structure,
• a material data input step in which a material data input portion provided by the computer inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing step in which a dividing portion provided by the computer divides the structure into a plurality of small regions, and
• a small region interior calculation step in which a small region interior calculation portion provided by the computer calculates equivalent material constants in the small regions,
• wherein the small region interior calculation step, in which a small region interior calculation portion expresses, based on the shape data and material constant data, an equivalent material constant for a region that is a portion of a small region with a function that includes value in a variable a that expresses a location in the small region in at least one direction and calculates an equivalent material constant for the small region with respect to the at least one direction using the function, and
• wherein the small region interior calculation step comprises:
• a boundary function generating step of setting a coordinate in the direction of one coordinate axis to u in an orthogonal coordinate system that has been set for the structure, and generating, based on the shape data, a boundary function F(u) that expresses a boundary between the materials within the small region,
• a section setting step of setting one or more sections for u in the small region according to a domain of the boundary function F(u),
• a section interior calculation step of creating a function, in the section, that expresses a position where the material constant is applied, based on the function F(u) and the material constant data, and obtaining an equivalent material constant of the coordinate axis direction in the section by integrating the function in the section, and
• an equivalent material constant generating step of obtaining an equivalent material constant of the coordinate axis direction in the small region, based on a section equivalent material constant of each section which is obtained in the section interior calculation step.

An equivalent material constant calculation method that calculates an equivalent material constant of a structure constituted by a plurality of materials using a computer comprising,

• a shape data input step in which a shape data input portion provided by the computer inputs shape data that expresses the shape of each material constituting the structure,
• a material data input step in which a material data input portion provided by the computer inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing step in which a dividing portion provided by the computer divides the structure into a plurality of small regions, and
• a small region interior calculation step in which a small region interior calculation portion provided by the computer calculates equivalent material constants in the small regions,
• wherein the small region interior calculation step, in which a small region interior calculation portion expresses, based on the shape data and material constant data, an equivalent material constant for a region that is a portion of a small region with a function that includes value in a variable a that expresses a location in the small region in at least one direction and calculates an equivalent material constant for the small region with respect to the at least one direction using the function, and
• wherein the small region interior calculation step comprises:
• a minimum region material constant generating step of further dividing a small regions into a plurality of minimum regions along one or more directions, and obtaining an equivalent material constant for each minimum region, based on the shape data and the material constant data,
• a spectrum calculation step of obtaining a frequency spectrum in each minimum region by performing a Fourier transformation of the distribution of the equivalent material constant of the minimum regions in the small region in one or more directions, and
• an equivalent material constant generating step of obtaining an equivalent material constant for the small region in the one or more directions, based on the frequency spectrum in each of the minimum regions.

An equivalent material constant calculation system that calculates an equivalent material constant of a structure constituted by a plurality of materials, comprising:

• a shape data input portion that inputs shape data that expresses the shape of each material constituting the structure,
• a material data input portion that inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing portion that divides the structure into a plurality of small regions, and
• a small region interior calculation portion that calculates equivalent material constants in the small regions, wherein
• the small region interior calculation portion calculates an area of each material included in the small region based on the shape data, obtains a slope of a line that expresses a boundary between the materials relative to a predetermined direction, and calculates an equivalent material constant for the small region based on the slope, the area, and the material constant data.

An equivalent material constant calculation method that calculates an equivalent material constant of a structure constituted by a plurality of materials using a computer, comprising:

• a shape data input step in which a shape data input portion provided by the computer inputs shape data that expresses the shape of each material constituting the structure,
• a material data input step in which a material data input portion provided by the computer inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing step in which a dividing portion provided by the computer divides the structure into a plurality of small regions, and
• a small region interior calculation step in which a small region interior calculation portion provided by the computer calculates equivalent material constants in the small regions, wherein
• in the small region interior calculation step, the small region interior calculation portion calculates an area of each material included in the small region based on the shape data, obtains a slope of a line that expresses a boundary between the materials relative to a predetermined direction, and calculates an equivalent material constant for the small region based on the slope, the area, and the material constant data.

A storage medium storing an equivalent material constant calculation program that allows a computer to execute processing that the processing calculates an equivalent material constant of a structure constituted by a plurality of materials, the processing comprising:

• a shape data input processing that inputs shape data that expresses the shape of each material constituting the structure,
• a material data input processing that inputs material constant data that expresses a material constant of at least one of the materials constituting the structure,
• a dividing processing that divides the structure into a plurality of small regions, and
• a small region interior calculation processing that calculates equivalent material constants in the small regions, wherein
• the small region interior calculation processing calculates an area of each material included in the small region based on the shape data, obtains a slope of a line that expresses a boundary between the materials relative to a predetermined direction, and calculates an equivalent material constant for the small region based on the slope, the area, and the material constant data.