Spring/mass models Soft-body dynamics

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two nodes mass points connected parallel circuit of spring , damper.


in approach, body modeled set of point masses (nodes) connected ideal weightless elastic springs obeying variant of hooke s law. nodes may either derive edges of two-dimensional polygonal mesh representation of surface of object, or three-dimensional network of nodes , edges modeling internal structure of object (or one-dimensional system of links, if example rope or hair strand being simulated). additional springs between nodes can added, or force law of springs modified, achieve desired effects. applying newton s second law point masses including forces applied springs , external forces (due contact, gravity, air resistance, wind, , on) gives system of differential equations motion of nodes, solved standard numerical schemes solving odes. rendering of three-dimensional mass-spring lattice done using free-form deformation, in rendered mesh embedded in lattice , distorted conform shape of lattice evolves. assuming point masses equal 0 1 can obtain stretched grid method aimed @ several engineering problems solution relative elastic grid behavior. these known mass-spring-damper models.








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