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Introduction to Virtual Engineering: Shape Modification Techniques in Applied Mathematics

This course, taught by Professor László Horváth at Óbuda University, explores advanced methods for modifying shapes through form features. Students will learn the construction of complex shapes from an initial model, focusing on local and global modifications. Laboratory sessions will cover practical applications, including creating complex boundaries and using constructive solid geometry. Key topics include control of shape modification using curves and defining surface features such as fillets and chamfers. Ideal for those interested in applied mathematics and engineering design.

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Introduction to Virtual Engineering: Shape Modification Techniques in Applied Mathematics

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  1. Óbuda University John von Neumann Faculty of Informatics Institute of Applied Mathematics CourseIntroduction to virtual engineering Lecture and laboratory 4. Modification of shape by form features László Horváth university professor http://users.nik.uni-obuda.hu/lhorvath/

  2. Contents Lecture Construction of complex shapes by modification of an initial shape Three leveled description of form features Local and global modifications Laboratory Creating complex boundary by features. (VE4.1) Control of shape by point on curve (VE4.2) LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  3. Construction of complex shapes by modification of an initial shape Form feature Modified topological structure Base feature Modified base feature LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  4. Shape modification features • 1. Defined by type, volume adding and volume subtracting • Cuboids, cylinder, sphere, cone, and torus. • 2. Contour based, volume adding and volume subtracting • Tabulated (extruded), revolved, pyramid, tube, swept, and lofted. • 3. Transformed, added and volume subtracted volume. • Constructive solid geometry in shape modification • 4. Modification of shape by surface • Building separately created surface. • 5. Form features for conditioning existing form features (dress-up features) • Fillet, chamfer, shell, and draft. LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  5. Three leveled description of form features General information (name, ID code, version, etc. Sequence of shape modifications Modifying form features Application feature and attributes Form feature • Form feature representation: • Boundary representation • NURBS LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  6. Local and global modifications Global modification Local modification Part or form feature dimension Topology and geometry LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  7. Intersection of solid by surface (sewing) Modification of topological structure LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  8. Laboratory task VE4.1 Creating tabulated solid starting from closed spline. Modification by closing tabulated surface starting from spline Definition of fillet surfaces on the shape. Evaluation of developing boundary. Creating shell between the boundary and its offset. Modification of the starting closing spline and studying propagation along contextual chain of features. LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  9. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  10. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  11. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  12. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  13. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  14. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  15. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  16. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  17. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  18. Laboratory task VE4.1 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  19. Laboratory task VE4.2 Control of tabulated shape and associated conditioning features by point on curve. LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  20. Laboratory task VE4.2 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  21. Laboratory task VE4.2 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

  22. Laboratory task VE4.2 LászlóHorváth ÓU-JNFI-IIES http://users.nik.uni-obuda.hu/lhorvath/

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