Abstract
The focus of the first six sections of this chapter is on qualitative properties of the finite difference model or the related physical model of a beam. We will set up the governing equations of motion and boundary conditions associated with the finite difference system; derive various modal qualitative properties of the discrete model under different boundary constraints, by applying the theory of oscillatory matrices and the concept of conjugate beams; and establish qualitative properties in static deformation of the finite difference system of a well-constrained beam.
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Wang, D., Wang, Q., He, B. (2019). Qualitative Properties of Vibration and Static Deformation Associated with Discrete Systems of Beams. In: Qualitative Theory in Structural Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-13-1376-9_4
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DOI: https://doi.org/10.1007/978-981-13-1376-9_4
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