Energy equations analogous to the thermal conductivity equation are derived to examine the
propagation of longitudinal waves and in-plane shear waves in finite thin plates. The derived …

A new approach called the “variational theory of complex rays”(VTCR) is developed for
calculating the vibrations of weakly damped elastic structures in the medium‐frequency …

The characterization of propagation constants of realistic thin-walled structures with any
cross-section is studied in this paper. A propagative approach is proposed in order to extract …

Prediction and measurement of vibration power flow in structures are both important for
locating vibration sources and sinks and for confirming vibration propagating paths. From …

In this work, an enriched model describing the longitudinal wave propagation is established
based on Mindlin's Second Strain Gradient (SSG) theory, which can describe the …

Today, the main numerical modeling techniques for the analysis of medium-frequency
vibrations are all based on finite element or boundary element approaches. In order to …

In this paper, an energy flow model is developed to analyze transverse vibration including
the effects of rotatory inertia as well as shear distortion, which are very important in the …

In order to predict the high frequency vibration response of beams with axial force, an
energy finite element method (EFEM) is developed. An Euler–Bernoulli beam with constant …

Vibration analysis of heated panels in supersonic airflow under aerothermoelastic effects
has attracted wide attention, but the high-frequency vibration characteristics have not yet …

This paper is concerned with the high-frequency dynamics of structures in the time domain.
In this frequency range, a differential equation governing the vibrational energy density is …