内部振动声学建模和模态分析的合面板腔系统使用波纹有限元素方法
Zexi Sun1, Guoyong Jin1, Tiangui Ye1
1College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, People's Republic of China.
The Journal of the Acoustical Society of America
|June 18, 2025
概括
这项研究引入了一种基于波纹的有限元素方法,用于分析合的面板腔系统. 该方法在振动声学模拟中提高了准确性和稳定性,特别是在复杂结构中.
科学领域:
- 计算力学 计算力学 计算力学
- 声学 声学 在声学方面
- 振动分析 振动分析
背景情况:
- 合面板腔系统在各种工程应用中至关重要,但它们的振动声学分析存在重大挑战.
- 现有的方法经常在准确性和计算效率方面扎,特别是在高频率或复杂几何形状下.
研究的目的:
- 开发和验证基于波纹的Galerkin弱形式,用于研究合面板腔系统中的振动声学反应.
- 为了整合B-spline波段和B-spline波段在有限间隔 (BSWI) 理论上的流体结构相互作用建模.
- 评估拟议方法的性能与标准的有限元素方法相比.
主要方法:
- 基于波段的Galerkin弱形式的开发,使用B-spline波段进行结构和声学建模.
- 对于位移和声压场,采用基于波纹的半直角,紧的支形状函数.
- 使用Kirchhoff和Mindlin理论对面板进行建模,并通过BSWI通过3D声学理论.
- 通过参数,收和L形面板腔系统研究进行数值验证.
主要成果:
- 波纹有限元素方法在高波数下显著降低了污染误差,这是由于B线波纹的高顺序和多分辨率特性.
- 合的BSWI元件对不规则网格的敏感性降低,导致更稳定的解决方案.
- 在合面板腔系统中实现了对振动声学行为的有效建模.
结论:
- 拟议的基于波纹的有限元素方法为合面板腔系统的振动声学分析提供了强大而准确的方法.
- 整合B-spline波段和BSWI理论提高了流体结构相互作用建模的稳定性和效率.
- 该方法为传统技术提供了有希望的替代方案,特别是在复杂和高频的振动声学问题上.
相关概念视频
01:28Standing Waves in a Cavity
1.1K
A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
1.1K
01:04Modes of Standing Waves: II
989
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
989
01:03Modes of Standing Waves - I
3.1K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
3.1K
01:16Anatomy of the Ear
9.0K
Auditory sensation, commonly called hearing, involves the transformation of sonic waves into neural impulses facilitated by the structures of the auditory organ. The prominent, flesh-like structure on the side of the head, called the auricle, directs sound waves towards the auditory canal. The auricle is often mislabeled as the pinna, a term more aligned with mobile structures like a feline's external ear. The auditory canal penetrates the cranium via the external auditory meatus of the...
9.0K
01:14Sound Waves: Resonance
2.7K
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
2.7K
01:12Mesh Analysis for AC Circuits
429
In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
429