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Formulas for natural frequency and mode shape

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The article was published on 1979-01-01 and is currently open access. It has received 2002 citations till now. The article focuses on the topics: Natural frequency & Normal mode.

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Journal ArticleDOI

Nonlinear random vibrations of thermally buckled skew plates

TL;DR: For hard and simply supported polygonal plates a multi-modal projection by the Galerkin-procedure renders as a result of a proper non-dimensional formulation a set of nonlinearly coupled ordinary differential equations as discussed by the authors.
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Instability analysis of some fluid–structure interaction problems

Xiaodong Wang
- 01 Jan 2003 - 
TL;DR: In this article, instability analysis of two fluid-structure interaction (FSI) problems in the papermaking process is presented, in which buckling and flutter instabilities are investigated.
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Influence of the boundary conditions on the natural frequencies of a Francis turbine

TL;DR: In this article, the authors used acoustic-structural FSI simulations to evaluate the influence of small axial and radial gaps on the natural frequencies of a Francis turbine running in water.
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Engineering polymer MEMS using combined microfluidic pervaporation and micro-molding

TL;DR: The technique could be used for creating micro-structuration from almost any type of materials, starting from dilute colloidal dispersions to polymer solutions, and paves the way for new applications, including bio-sensors, mechanical energy harvesters, and actuators.
Journal ArticleDOI

Atomic lattice structure and continuum plate theories for the vibrational characteristics of graphenes

TL;DR: In this paper, a plane lattice structure made of tightly packed carbon atoms into an array of honeycomb-shaped cells was used to model the extensional and flexural rigidities of a single layer graphene sheet.