Simulation of a Mass-Spring System using the Unconditionally Stable Explicit Method

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Other Title
  • 無条件安定陽解法を用いたバネ‐質点モデルのシミュレーション
  • 無条件安定陽解法を用いたバネ-質点モデルのシミュレーション
  • ムジョウケン アンテイ ヨウカイホウ オ モチイタ バネ シツテン モデル ノ シミュレーション

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This paper proposes to use the unconditionally stable explicit method for a physical simulation using the mass-spring system. This paper compares the stability and efficiency of the unconditionally stable explicit method with those of the other methods such as the explicit Newmarkβ method and the Euler method. By diagonalizing the stiffness matrix using the modal analysis, the vector-matrix multiplication in the unconditionally stable explicit method reduces to the scalar multiplication of the vector, which makes the unconditionally stable explicit method more efficient than other methods.

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