Related Experiment Video
Updated: Jan 29, 2026
06:53
Additive Manufacturing of Functionally Graded Ceramic Materials by Stereolithography
Published on: January 25, 2019
15.1K
A widespread internal resonance phenomenon in functionally graded material plates with longitudinal speed
1College of Aerospace Engineering, Shenyang Aerospace University, Shenyang, 110136, China. yufeizhang73@163.com.
Scientific Reports
|February 15, 2019
Summary
Internal resonance is common in moving functionally graded material (FGM) plates. This phenomenon occurs even with minimal excitation or high damping, impacting FGM plate dynamics.
Area of Science:
- Solid Mechanics
- Materials Science
- Nonlinear Dynamics
Background:
- Functionally Graded Materials (FGM) are advanced composites with spatially varying material properties.
- Internal resonance is a phenomenon where natural frequencies of a system interact, leading to complex dynamic behaviors.
- Axially moving plates are common in engineering applications, and their dynamics are sensitive to various parameters.
Purpose of the Study:
- To investigate the occurrence and characteristics of internal resonance in axially moving functionally graded material (FGM) rectangular plates.
- To analyze the influence of material gradient and geometric nonlinearity on the dynamic behavior of FGM plates.
- To determine the conditions under which internal resonance phenomena manifest in these systems.
Main Methods:
- Derivation of the governing equation for transverse motion using von Kármán nonlinear geometric equations and d'Alembert's principle.
- Discretization of the governing partial differential equation into ordinary differential equations via the Galerkin technique.
- Application of the harmonic balance method to solve the discretized equations and analyze steady-state solutions.
- Conducting a stability analysis of the obtained solutions.
Main Results:
- A widespread one-to-one internal resonance phenomenon was detected in axially moving FGM rectangular plates.
- This resonance occurs across a broad range of constituent volume distributions within the FGM.
- Internal resonance was found to be easily triggered even under very small external excitations or with substantial damping.
- The study identified specific conditions and ranges of material gradation where internal resonance is prevalent.
Conclusions:
- Internal resonance is a significant and pervasive dynamic characteristic of axially moving FGM plates.
- The findings highlight the sensitivity of FGM plate dynamics to material gradients and external conditions.
- Understanding this resonance is crucial for designing stable and reliable FGM structures in dynamic applications.
More Related Videos
07:44Characterization of Full Set Material Constants and Their Temperature Dependence for Piezoelectric Materials Using Resonant Ultrasound Spectroscopy
Published on: April 27, 2016
10.1K
06:18A Novel Method to Determine the Longitudinal Antibacterial Activity of Drug-Eluting Materials
Published on: March 3, 2023
1.8K
Related Concept Videos
01:10Tip-of-the-Tongue Phenomenon
516
The tip-of-the-tongue (TOT) phenomenon is a cognitive experience characterized by a temporary inability to retrieve specific information from memory despite having a strong feeling of knowing the information. Although individuals cannot access the target word or detail, they frequently recall related elements, such as its initial letter, syllable count, or context. This partial retrieval often causes frustration, as one might recognize a familiar face or know that a name starts with a specific...
516
02:20Longitudinal Research
13.2K
Sometimes we want to see how people change over time, as in studies of human development and lifespan. When we test the same group of individuals repeatedly over an extended period of time, we are conducting longitudinal research. Longitudinal research is a research design in which data-gathering is administered repeatedly over an extended period of time. For example, we may survey a group of individuals about their dietary habits at age 20, retest them a decade later at age 30, and then again...
13.2K
02:52Resonance
65.1K
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N-O and N=O bonds.
65.1K
02:00Internal Energy
36.7K
The total of all possible kinds of energy present in a substance is called the internal energy (U), sometimes symbolized as E. Suppose a system with initial internal energy, Uinitial, undergoes a change in energy (transfer of work or heat), and the final internal energy of the system is Ufinal. Change in internal energy equals the difference between Ufinal and Uinitial.
36.7K
01:19Graded Potential
7.0K
Graded potentials are localized fluctuations in the cell membrane's electrical charge, commonly found in the dendrites of neurons. The magnitude of these potential changes depends on the strength of the initiating stimulus. In a membrane at its resting potential, a graded potential signifies a voltage shift either above -70 mV or below -70 mV.
Graded potentials fall into two categories: depolarizing and hyperpolarizing. Depolarizing graded potentials typically occur when sodium (Na+) or...
Graded potentials fall into two categories: depolarizing and hyperpolarizing. Depolarizing graded potentials typically occur when sodium (Na+) or...
7.0K
01:31Internal Receptors
74.6K
Many cellular signals are hydrophilic and therefore cannot pass through the plasma membrane. However, small or hydrophobic signaling molecules can cross the hydrophobic core of the plasma membrane and bind to internal, or intracellular, receptors that reside within the cell. Many mammalian steroid hormones use this mechanism of cell signaling, as does nitric oxide (NO) gas.
74.6K