S M Nazmuz Sakib Structural Dissipation Entropy Principle

Abstract This paper proposes the S M Nazmuz Sakib Structural Dissipation Entropy Principle and the associated Sakib Dissipation Entropy Indices for assessing how structural energy-related quantities are spatially and spectrally distributed. The central idea is that the robustness and damage localizability of a structure can be characterized by the normalized entropy of suitable energy-like partitions (e.g. modal strain energy-based indicators or modal spectral energy surrogates). Unlike purely theoretical work, this study constructs all illustrations from real, openly reported datasets. First, finite element and experimental results on damaged wooden beams are used to build a Sakib Damage Entropy Index based on a fused modal-strain-energy damage indicator. Second, frequency data for an aluminium cantilever beam before and after damage are employed to define a Sakib Modal Entropy computed from squared natural frequencies. Across both datasets, entropy decreases as damage severity increases or as energy becomes more concentrated in dominant modes, supporting the qualitative content of the proposed principle. Within the scope of the literature surveyed, no prior work was found that formulates the same entropy-based structural indicators in this exact form.