Abstract: Determining magnitude of a field variable of an energy wave through domain of interest, including steps of: defining plurality of master-particles spaced within domain, master-particles being representative of field variables of energy wave at location of respective master-particle, and defining supporting domain ?m for each master-particle; computing field variables including position, magnitude and direction of propagation of each master-particle at predetermined time; defining plurality of virtual-particles within domain representative of magnitude of field variable of wave at location of respective virtual-particle; calculating magnitude uv of field variable of each virtual-particle at time of interest by applying formula: u v = ? m = 1 N ? ? u m ? f ? ( q ? ? 1 ) × g ? ( q ? ? 2 ) Where ? ? v ? ? ? m where N is total number of master-particles, um is magnitude of respective master-particle, f(q1) is an envelope function relating magnitude of virtua

Abstract: A method including the steps of: defining an original parent polygon representative domain of interest, an origin corresponding to a wavesource position within the parent, a wavesource wavefront geometry, and a maximum wavefront extent; determining one or more valid parent polygon sides; defining cutting lines from the vertices of each valid parent side to the extent; reflecting the parent about the respective valid side defining a child polygon; discarding portions of each child polygon lying beyond a cutting line from the respective parent side; redefining each child as a parent, and repeating the second to fifth steps for each parent filling the area within the extent; projecting onto the polygons within the extent, a wavefront having the wavefront geometry spaced from the origin by a specified distance; and reflecting the child polygons along the respective sides of their respective parents projecting the child polygons and wavefront onto the original parent.

Abstract: The ultrasonic inspectability of a supplied part out of which a final component is to be machined is determined by following a set of inspection rules for ultrasonic inspection of the supplied part. The rules determine which parts of the polygon cannot be inspected by a scan at a given ultrasound beam angle (typical beam angles are 0°, +20° and ?20° relative to the perpendicular direction to the edge) along a given edge of the polygon.

Abstract: A method of manufacturing an article by hot pressing and ultrasonically inspecting the article comprises forming and filling a canister with powder material and evacuating and sealing the canister. Heat and pressure are applied to the canister to consolidate the powder material to form the article. The article within the canister is ultrasonically inspected by moving a transducer over the whole of the canister. The position of an interface between the article and the canister, and the thickness of the canister, at each position on the surface of the canister and if there are defects within the article are determined. The canister is then removed from the article by machining the canister using a machining tool, the movement of the tool is controlled such that at each position of the canister the tool removes the determined thickness of the canister for the corresponding position on the surface of the canister.

Abstract: A method including the steps of: defining an original parent polygon representative domain of interest, an origin corresponding to a wavesource position within the parent, a wavesource wavefront geometry, and a maximum wavefront extent; determining one or more valid parent polygon sides; defining cutting lines from the vertices of each valid parent side to the extent; reflecting the parent about the respective valid side defining a child polygon; discarding portions of each child polygon lying beyond a cutting line from the respective parent side; redefining each child as a parent, and repeating the second to fifth steps for each parent filling the area within the extent; projecting onto the polygons within the extent, a wavefront having the wavefront geometry spaced from the origin by a specified distance; and reflecting the child polygons along the respective sides of their respective parents projecting the child polygons and wavefront onto the original parent.

Abstract: Determining magnitude of a field variable of an energy wave through domain of interest, including steps of: defining plurality of master-particles spaced within domain, master-particles being representative of field variables of energy wave at location of respective master-particle, and defining supporting domain ?m for each master-particle; computing field variables including position, magnitude and direction of propagation of each master-particle at predetermined time; defining plurality of virtual-particles within domain representative of magnitude of field variable of wave at location of respective virtual-particle; calculating magnitude uv of field variable of each virtual-particle at time of interest by applying formula: u v = ? m = 1 N ? ? u m ? f ? ( q ? ? 1 ) × g ? ( q ? ? 2 ) Where ? ? v ? ? ? m where N is total number of master-particles, um is magnitude of respective master-particle, f(q1) is an envelope function relating magnitude of virtua

Abstract: The ultrasonic inspectability of a supplied part out of which a final component is to be machined is determined by following a set of inspection rules for ultrasonic inspection of the supplied part. The rules determine which parts of the polygon cannot be inspected by a scan at a given ultrasound beam angle (typical beam angles are 0°, +20° and ?20° relative to the perpendicular direction to the edge) along a given edge of the polygon.

Abstract: A method of manufacturing an article by hot pressing and ultrasonically inspecting the article comprises forming and filling a canister with powder material and evacuating and sealing the canister. Heat and pressure are applied to the canister to consolidate the powder material to form the article. The article within the canister is ultrasonically inspected by moving a transducer over the whole of the canister. The position of an interface between the article and the canister, and the thickness of the canister, at each position on the surface of the canister and if there are defects within the article are determined. The canister is then removed from the article by machining the canister using a machining tool, the movement of the tool is controlled such that at each position of the canister the tool removes the determined thickness of the canister for the corresponding position on the surface of the canister.