Relationship Between Static Stiffness and Modal Stiffness of Structures  

Oleh:

Wahyuni, Endah

Jenis: Article from Journal - ilmiah nasional - terakreditasi DIKTI
Dalam koleksi: IPTEK: The Journal for Technology and Science vol. 21 no. 2 (May 2010), page 55-59.
Topik: Static Stiffness; Modal Stiffness; Relationship of Stiffness-es; Frequency; Static; Dynamic
Fulltext: Relationship between Static Stiffness and Modal Stiffness of Structures.pdf (336.78KB)

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Perpustakaan Pusat (Semanggi) Nomor Panggil: MM48 Non-tandon: 1 (dapat dipinjam: 0) Tandon: tidak ada

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Isi artikel

This paper derives the relationship between the static stiffness and modal stiffness of a structure. The static stiffness and modal stiffness are two important concepts in both structural statics and dynamics. Although both stiffness-es indicate the capacity of the structure to resist deformation, they are obtained using different methods. The former is calculated by solving the equations of equilibrium and the latter can be obtained by solving an eigenvalue problem. A mathematical relationship between the two stiffness-es was derived based on the definitions of two stiffness-es. This relationship was applicable to a linear system and the derivation of relationships does not reveal any other limitations. Verification of the relationship was given by using several examples. The relationship between the two stiffness-es demonstrated that the modal stiffness of the fundamental mode was always larger than the static stiffness of a structure if the critical point and the maximum mode value are at the same node, i.e. for simply supported beam and seven storeys building are 1.5% and 15% respectively. The relationship could be applied into real structures, where the greater the number of modes being considered, the smaller the difference between the modal stiffness and the static stiffness of a structure.

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