Analysis and Physical Interpretation of the Uncertainty Effect in Structural Dynamics

Principal component analysis (PCA) has been successfully applied in structural dynamics in recent years. However, it is usually used as a black-box, resulting in a gap between the application aspect and the physics essence of the problem. Thus a physical interpretation of PCA is necessary, along with further investigation, especially on the mechanism involved. This paper provides a physical meaning of the PCA by the theoretical analysis and numerical experiment on the vibration of a 1D string. Conditions that make the interpretation feasible were identified. The theoretical derivation and numerical simulation results indicate that the PCA gives a good estimation of the modal participation ratio in terms of energy, and the principal component coefficient (PCC) can be used to estimate the structural modes. The physical interpretation gives a new perspective on how the current methods work while providing the possibility of further application of the PCA related methods to structural dynamic problems.

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Understanding System Zeros

International Journal of Mechanical Engineering Education ◽

10.1177/030641909302100402 ◽

1993 ◽

Vol 21 (4) ◽

pp. 316-326

Author(s):

C. R. Knospe ◽

V. S. Lefante

Keyword(s):

Structural Dynamics ◽

Physical Interpretation ◽

Natural Frequencies ◽

Transfer Functions ◽

System A ◽

Mass Damper ◽

The Relationship

An intuitive physical interpretation of a transfer function's poles is easily made: the natural frequencies of the system. A similar physical interpretation of a transfer function's zeros can also be made: the natural frequencies of special subsystems. In this paper, such an interpretation is advanced for certain spring-mass-damper systems using a rigorous and intuitive demonstration. This interpretation may serve as a useful paradigm for understanding the relationship between structural dynamics and transfer functions.

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Structural dynamics of P-type ATPase ion pumps

Biochemical Society Transactions ◽

10.1042/bst20190124 ◽

2019 ◽

Vol 47 (5) ◽

pp. 1247-1257 ◽

Cited By ~ 17

Author(s):

Mateusz Dyla ◽

Sara Basse Hansen ◽

Poul Nissen ◽

Magnus Kjaergaard

Keyword(s):

Structural Dynamics ◽

Single Molecule ◽

New Technologies ◽

Atp Hydrolysis ◽

Resonance Energy Transfer ◽

Resonance Energy ◽

Time Resolved ◽

Dynamics Simulations ◽

Types Of Information ◽

P Type

Abstract P-type ATPases transport ions across biological membranes against concentration gradients and are essential for all cells. They use the energy from ATP hydrolysis to propel large intramolecular movements, which drive vectorial transport of ions. Tight coordination of the motions of the pump is required to couple the two spatially distant processes of ion binding and ATP hydrolysis. Here, we review our current understanding of the structural dynamics of P-type ATPases, focusing primarily on Ca2+ pumps. We integrate different types of information that report on structural dynamics, primarily time-resolved fluorescence experiments including single-molecule Förster resonance energy transfer and molecular dynamics simulations, and interpret them in the framework provided by the numerous crystal structures of sarco/endoplasmic reticulum Ca2+-ATPase. We discuss the challenges in characterizing the dynamics of membrane pumps, and the likely impact of new technologies on the field.

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