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Comparative analysis of axial and radial mechanical properties of cortical bone using nanoindentation 利用纳米压痕技术比较分析皮质骨的轴向和径向力学性能
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-28 DOI: 10.2140/jomms.2024.19.669
Rongchang Fu, Huaiyue Zhang, Xiaozheng Yang, Zhaoyao Wang

We investigate differences in mechanical properties between anatomical regions and bearing surfaces of cortical bone at the microscale.

Eight samples were prepared from fresh femoral bones, and then loaded onto the four sides of the anatomical region, including the front, back, inside, and outside, as well as the axial and radial directions. Nanoindentation testing was performed on each sample using six indentations to acquire load-depth curves. The curves were then analyzed to determine the elastic modulus and hardness of the materials. Statistical analysis was subsequently conducted to assess the data distribution and variability. Finite element simulation may have been utilized to establish a more comprehensive mechanical behavior model.

The mechanical properties of cortical bone varied significantly across various anatomical regions and bearing surfaces, the elastic modulus and hardness of the anterior and medial sides were significantly greater compared with those of the posterior and lateral sides. The elastic modulus in the axial direction was significantly higher relative to that in the radial direction by 21.94% (p < 0.001). The hardness increased by 13.3% (p = 0.03). The elastic modulus and hardness of cortical bone increased in the same direction, showing a strong positive correlation ( R 2= 0.817, p < 0.001). Under the same conditions, the stresses in the axial direction of the cortical bone exceeds those in the radial direction.

我们在微观尺度上研究了皮质骨的解剖区域和承载表面之间的力学性能差异。 我们从新鲜股骨头中制备了八个样本,然后将其加载到解剖区域的四个面上,包括正面、背面、内部和外部,以及轴向和径向方向。对每个样本进行纳米压痕测试,使用六个压痕获取载荷-深度曲线。然后对曲线进行分析,以确定材料的弹性模量和硬度。随后进行统计分析,以评估数据分布和可变性。有限元模拟可用于建立更全面的机械行为模型。 皮质骨的机械性能在不同的解剖区域和承载面之间存在显著差异,前侧和内侧的弹性模量和硬度明显高于后侧和外侧。轴向的弹性模量比径向的弹性模量高出 21.94% (p < 0.001)。硬度增加了 13.3% (p = 0.03)。皮质骨的弹性模量和硬度沿同一方向增加,显示出很强的正相关性 ( R 2= 0.817, p < 0.001)。在相同条件下,皮质骨轴向应力超过径向应力。
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引用次数: 0
Frictional receding contact problem of a functionally graded orthotropic layer / orthotropic interlayer / isotropic half plane system 功能梯度正交层/正交层间/各向同性半平面系统的摩擦后退接触问题
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-08-28 DOI: 10.2140/jomms.2024.19.651
Hüseyin Oğuz, İlkem Turhan Çetinkaya, İsa Çömez

A frictional receding contact problem of a functionally graded (FG) orthotropic layer / homogeneous orthotropic interlayer / homogeneous isotropic half plane system is considered. The FG layer is loaded by a rigid cylindrical punch with normal and frictional forces. While the lower layer and half plane fully bonded to each other, receding contact occurs between the upper and lower layers. It is assumed that the elastic stiffness constants for the FG layer vary exponentially in the depth direction and the Poisson’s ratios of the system are constant. The problem is converted into a system of Cauchy type singular integral equations in which the unknowns are the contact stresses on the contact areas between the punch and the FG layer, and between the FG layer and the homogeneous layer. The Gauss–Jacobi quadrature is used to discretize and collocate the singular integral equations leading to a system of algebraic equations about unknowns. Thus, the effects of some parameters such as the friction coefficient, inhomogeneity parameter, indentation load, punch radius, thickness of the upper layer on the contact areas, and the contact stresses, are presented by the results of parametric analysis.

研究考虑了功能分层(FG)正交层/均质正交夹层/均质各向同性半平面系统的摩擦后退接触问题。FG 层由带有法向力和摩擦力的刚性圆柱冲头加载。当下层和半平面完全相互粘合时,上层和下层之间发生后退接触。假设 FG 层的弹性刚度常数在深度方向上呈指数变化,系统的泊松比为常数。问题被转换成一个考奇型奇异积分方程组,其中的未知数为冲头与 FG 层之间以及 FG 层与均质层之间接触区域的接触应力。使用高斯-雅可比正交对奇异积分方程进行离散化和定位,从而得到关于未知数的代数方程系统。因此,参数分析结果表明了摩擦系数、不均匀参数、压痕载荷、冲头半径、上层厚度等参数对接触面积和接触应力的影响。
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引用次数: 0
Effect of welding parameters on surface formation and microstructure for TC4 titanium alloy joint welded by CMT 焊接参数对 CMT 焊接 TC4 钛合金接头表面成形和显微组织的影响
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-18 DOI: 10.2140/jomms.2024.19.615
Xiaoyan Gu, Siyu Hu, Rui Zhang, Weihan Wang, Xiaopeng Gu

Low heat input, less spatter and low deformation after welding are some of the advantages of joining titanium alloys using CMT welding. However, few systematic studies about the effects of welding parameters on joint formation and microstructure characteristics have been conducted. In this paper, a numerical model for CMT based on time interval loading and double ellipsoid volume heat flow distribution is established by using APDL language in ANSYS software. The effects of wire feed speed and welding speed on the temperature field, stress field and deformation cloud distribution characteristics of CMT welding for TC4 titanium alloy are studied. The numerical simulation results in a high degree of coincidence with the experimental weld, with an average error of no more than 7%. At the same time, the influence of wire feed speed and welding speed on the surface formation and microstructure of the weld is experimentally studied in this paper. The results of numerical simulation show that with the increase of wire feed speed, the area of high temperature zone of the joint enlarges. The peak temperature at the arc closing position changes from 2858 C to 4182 C. As the welding speed increases, the area of high temperature zone of the joint shrinks. The peak temperature at the arc closing position decreases from 4722 C to 2133 C. When the wire feed speed is 5.5 m/min and the welding speed is 0.45 m/min, the maximum von Mises residual stress on the upper surface is relatively small, 730 MPa, and the maximum deformation is relatively small, 0.869 mm. The experiment results show that with the increase of the wire feed speed, the melt width on the front side gradually increases and the formation of the back side gradually changes from discontinuous to continuous and uniform. The average grain size in the weld increases from 10.0 μm to 16.7 μm. With the increase of welding speed, the melt width on the front side gradually decreases and the formation of the back side gradually changes from continuous and uniform to discontinuous. The average grain size in the weld decreases from 14.3 μm to 9.1 μm.

使用 CMT 焊接连接钛合金具有输入热量低、飞溅少和焊接后变形小等优点。然而,有关焊接参数对接头形成和微观结构特征影响的系统研究却很少。本文使用 ANSYS 软件中的 APDL 语言建立了基于时间间隔加载和双椭圆体体积热流分布的 CMT 数值模型。研究了送丝速度和焊接速度对 TC4 钛合金 CMT 焊接温度场、应力场和变形云分布特征的影响。数值模拟结果与实验焊缝高度吻合,平均误差不超过 7%。同时,本文还通过实验研究了送丝速度和焊接速度对焊缝表面成形和显微组织的影响。数值模拟结果表明,随着送丝速度的增加,焊点高温区的面积增大。收弧位置的峰值温度从 2858 ∘C 变为 4182 ∘C。随着焊接速度的增加,接头高温区的面积缩小。收弧位置的峰值温度从 4722 ∘C 降至 2133 ∘C。当送丝速度为 5.5 m/min 和焊接速度为 0.45 m/min 时,上表面的最大 von Mises 残余应力相对较小,为 730 MPa,最大变形相对较小,为 0.869 mm。实验结果表明,随着送丝速度的增加,正面的熔体宽度逐渐增大,背面的熔体形成由不连续逐渐变为连续均匀。焊缝中的平均晶粒大小从 10.0 μm 增加到 16.7 μm。随着焊接速度的增加,正面的熔体宽度逐渐减小,背面的形成从连续均匀逐渐变为不连续。焊缝中的平均晶粒大小从 14.3 μm 减小到 9.1 μm。
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引用次数: 0
Dynamic response of an interlocking plastic-block wall with opening 带开口的互锁塑料砖墙的动态响应
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-18 DOI: 10.2140/jomms.2024.19.595
Mehran Sudheer, Majid Ali

The failure of unreinforced masonry structures (e.g., a collapse) because of their vulnerability to earthquake action poses an actual threat to human life. Researchers have investigated many mortar-free interlocking techniques. But the mass of interlocking blocks is a point of concern. The interlocking plastic-blocks are lighter in weight, possibly causing a lesser lateral force during the strong ground motions. However, the dynamic response of such structures is unknown. Therefore, the objective of this research is to examine the dynamic behavior of the scaled down model of the interlocking plastic-block wall having window in comparison with a model of an unreinforced masonry wall with the same elevation dimensions. Two dynamic tests, i.e., snapback and harmonic loading, are conducted in the out-of-plane direction. From the snapback test, the fundamental dynamic characteristics i.e., fundamental frequencies and damping ratios are experimentally determined. For learnt frequencies from snapback tests, three harmonic loadings are applied one by one using a locally developed unidirectional shake table. Acceleration time and displacement time histories are used to study the behavior of walls. Base shear displacement curves are used to determine energy absorption. Empirical equations are established by taking into consideration the input loading parameters, wall height, and geometry of interlocking blocks. It is found that the interlocking plastic-block wall is more resistant to unidirectional lateral loading when compared with a masonry wall.

未加固的砌体结构由于容易受到地震作用的影响而失效(如倒塌),对人类生命构成实际威胁。研究人员已经对许多无砂浆连锁技术进行了研究。但联锁砌块的质量是一个令人担忧的问题。互锁塑料砌块的重量较轻,在强烈地动时可能产生较小的侧向力。然而,这种结构的动态响应尚不清楚。因此,本研究的目的是将带窗户的互锁塑料砖墙的缩小模型与具有相同标高尺寸的无筋砌体墙的模型进行比较,以检查其动态行为。在平面外方向进行了两种动态测试,即反弹和谐波加载。通过回弹试验,实验确定了基本动态特性,即基频和阻尼比。对于从回弹试验中学习到的频率,则使用本地开发的单向振动台逐一施加三次谐波载荷。利用加速时间和位移时间历程来研究墙体的行为。基底剪切位移曲线用于确定能量吸收。通过考虑输入加载参数、墙体高度和联锁砌块的几何形状,建立了经验方程。研究发现,与砌体墙相比,互锁塑料砌块墙更能抵抗单向侧向荷载。
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引用次数: 0
Sound radiation and wave propagation of functionally graded carbon nanotube reinforced composite plates 功能分级碳纳米管增强复合板的声辐射和波传播
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-18 DOI: 10.2140/jomms.2024.19.573
Feng-Lian Li, Yu-Qi Hao, Yu-Xin Hao

With the wide application of functionally graded carbon nanotube reinforced composite (FG-CNTRC) structure in engineering, vibration and noise are inevitable in the complex working environment. This paper investigated the acoustic response and wave propagation characteristics of FG-CNTRC plates. Based on the third-order shear deformation theory, the dynamic equation of FG-CNTRC plate was derived using Hamilton’s principle. The acoustic response characteristics of FG-CNTRC plate under the concentrated harmonic excitation were solved and verified. By using the displacement function of wave propagation in an infinite plate, the dispersion characteristic equation of FG-CNTRC plate was obtained, and its dispersion curve, phase velocity and group velocity were solved. Then, the effects of parameter changes on the acoustic response and wave propagation in the FG-CNTRC plate were analyzed and discussed. This research provides a theoretical reference for the optimization design of FG-CNTRC structures.

随着功能分级碳纳米管增强复合材料(FG-CNTRC)结构在工程中的广泛应用,在复杂的工作环境中不可避免地会产生振动和噪声。本文研究了 FG-CNTRC 板材的声学响应和波传播特性。基于三阶剪切变形理论,利用汉密尔顿原理推导了 FG-CNTRC 板的动力学方程。求解并验证了 FG-CNTRC 板在集中谐波激励下的声学响应特性。利用波在无限板中传播的位移函数,得到了 FG-CNTRC 板的频散特性方程,并求解了其频散曲线、相位速度和群速度。然后,分析和讨论了参数变化对 FG-CNTRC 板的声学响应和波传播的影响。该研究为 FG-CNTRC 结构的优化设计提供了理论参考。
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引用次数: 0
Microstructure evolution mechanism of high entropy alloys under impact loading 冲击载荷下高熵合金的微观结构演变机理
IF 0.9 4区 材料科学 Q4 MATERIALS SCIENCE, MULTIDISCIPLINARY Pub Date : 2024-07-18 DOI: 10.2140/jomms.2024.19.635
Qiang Li, Weizhi Zhou, Ye Du

In this article, molecular dynamics simulation method was used to establish a high entropy alloy atomic model, and different impact velocities were applied to study the impact induced high entropy alloy phase transformation and dislocation motion mechanism. It creatively reveals the evolution mechanism of thermal mechanical coupling response of FeCoCrCuNi high entropy alloy under impact loading. The results show that when the impact speed is higher than 1400 m/s, the temperature rise breaks through 5000 K under the impact, and the high entropy alloy particles become amorphous. When the impact speed reaches 1000 m/s, the atomic motion speed of Ni and Cu atoms is slightly increased compared to other elements, and the face-centered cubic (FCC) phase is largely transformed into hexagonal close-packed (HCP) phase, with the dislocation density reaching its peak. After passing through the wavefront, twinning is formed under the action of cross slip and dislocation reaction, which prevents further expansion of dislocations and forms a dislocation hollow area, enhancing the strength of localized materials.

本文采用分子动力学模拟方法建立了高熵合金原子模型,并应用不同冲击速度研究了冲击诱导的高熵合金相变和位错运动机理。它创造性地揭示了FeCoCrCuNi高熵合金在冲击载荷作用下热机械耦合响应的演化机理。结果表明,当冲击速度大于 1400 m/s 时,冲击下的温升突破 5000 K,高熵合金颗粒变为非晶态。当冲击速度达到 1000 m/s 时,镍和铜原子的运动速度比其他元素略有增加,面心立方(FCC)相大部分转变为六方紧密堆积(HCP)相,位错密度达到峰值。穿过波阵面后,在交叉滑移和位错反应的作用下形成孪晶,阻止了位错的进一步扩展,形成了位错中空区,提高了局部材料的强度。
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引用次数: 0
Applications of modified Dugdale model to multiple collinear straight cracks with coalesced yield zones 修正的 Dugdale 模型在具有凝聚屈服区的多条共线直裂缝中的应用
IF 0.9 4区 材料科学 Q2 Mathematics Pub Date : 2024-05-05 DOI: 10.2140/jomms.2024.19.541
Naved Akhtar, Shehzad Hasan, Sudhanshu Shekhar

In this paper, the load-carrying capacity of an infinite elastic-perfectly plastic plate containing five collinear straight cracks with coalesced yield zones was studied using a modified Dugdale model. Important parts of this study are the coalescence of yield zones developed at the internal tips of closely located outer pairs of cracks and the influence of quadratically varying yield stress distribution on the load-bearing capacity and crack-tip opening displacement. Traditional concepts of Muskhelishvili’s complex variable method have been used to obtain analytical expressions for complex potential functions, stress intensity factors (SIFs), yield zone length, and crack-tip opening displacements (CTODs). Numerical results are obtained and shown graphically for yield zone length, applied load ratio, and CTODs. A good agreement of the results is seen with previously published work as limiting cases.

本文采用改进的 Dugdale 模型,研究了包含五条具有凝聚屈服区的共线直裂纹的无限弹性完全塑性板的承载能力。该研究的重要部分是在位置紧密的外侧成对裂缝的内部顶端形成的屈服区的凝聚,以及二次变化的屈服应力分布对承载能力和裂缝顶端张开位移的影响。利用 Muskhelishvili 复杂变量法的传统概念,获得了复杂势函数、应力强度因子 (SIF)、屈服区长度和裂纹尖端张开位移 (CTOD) 的分析表达式。获得了屈服区长度、外加载荷比和 CTOD 的数值结果,并以图形显示。结果与之前发表的极限案例研究结果非常吻合。
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引用次数: 0
A viscoplastic approach to the chemomechanical behavior of Sn microstructure 锡微结构化学机械行为的粘塑性方法
IF 0.9 4区 材料科学 Q2 Mathematics Pub Date : 2024-05-05 DOI: 10.2140/jomms.2024.19.561
Mengmeng Lv, Zuoquan Zhu, Zongchao Liu, Jing Wan

Due to the high theoretical capacity and environmental benignity, the tin (Sn) anode is one of the most promising candidates for applications as an electrode. Using an image-based finite element approach, we rebuilt the Sn active phase and evaluated the distribution of Li-ion concentration and evolution of stress. To account for the large deformation of the Sn electrode during the charge/discharge process, we proposed a theoretical framework based on viscoplasticity theory to study the chemomechanical coupling behavior of the Sn anode. First, we applied finite deformation theory to investigate the proposal that viscoplasticity induced the reduction in von Mises stress. Then, considering the stress-dependent diffusion in Li-Sn systems, the effects of microstructure on the stress evolution, local electric potential, and cycle performance were elucidated. Our results revealed that the microstructure significantly influenced the stress field and distribution of electric potential. Additionally, our results showed that concentration distributions result in a sharp gradient and that the von Mises stress varied significantly at the chosen concave or convex sites of the surface. Then, we proposed the effects of the number of cycles on the plastic stress and the stress-biased voltage. As a result, the predicted behavior of real microstructure has the potential to be utilized in the design of electrodes with tunable microstructure.

由于理论容量高且对环境无害,锡(Sn)阳极是最有希望应用的电极之一。利用基于图像的有限元方法,我们重建了锡活性相,并评估了锂离子浓度的分布和应力的演变。为了解释锡电极在充放电过程中的巨大变形,我们提出了一个基于粘弹性理论的理论框架来研究锡阳极的化学机械耦合行为。首先,我们应用有限变形理论研究了粘塑性导致 von Mises 应力降低的提议。然后,考虑到锂-硒体系中与应力相关的扩散,阐明了微结构对应力演变、局部电动势和循环性能的影响。结果表明,微观结构对应力场和电动势分布有显著影响。此外,我们的结果表明,浓度分布会导致急剧的梯度,并且在表面凹凸部位的 von Mises 应力变化很大。然后,我们提出了循环次数对塑性应力和应力偏置电压的影响。因此,真实微观结构的预测行为有望用于设计具有可调微观结构的电极。
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引用次数: 0
Vibrational analysis of finite plate on elastic foundation subjected to oblique impact 弹性地基上的有限平板受斜面冲击的振动分析
IF 0.9 4区 材料科学 Q2 Mathematics Pub Date : 2024-03-27 DOI: 10.2140/jomms.2024.19.419
Weipeng Hu, Yangxin Zhou, Qianli Liu, Fan Zhang, Qiang Zhou, Chuan Xiao

As a typical nonsmooth strong coupling dynamic problem, the vibrational analysis on the plate subjected to the oblique impact requires us to develop the effective method that can be used to deal with the nonsmooth strong coupling problem well. Focusing on the local dynamic behaviors of the impact system, the generalized multisymplectic method is employed to reproduce the dynamic response of the finite plate on the elastic foundation subjected to an oblique impact in this paper. Firstly, the first-order approximate symmetric form of the dynamic equation describing the vibration of the finite plate on the elastic foundation subjected to an oblique impact is deduced based on the multisymplectic theory. Then, a generalized multisymplectic scheme equivalent to the Preissmann scheme for the first-order approximate symmetric form is constructed. The validity as well as the high precision of the generalized multisymplectic scheme are verified by the finite element method and the approximate theoretical solution in the numerical simulations finally. From the numerical results, the effects of the angle parameters for the oblique impact on the maximum transverse displacement of the plate are discussed in detail. The main contribution of this work is proposing a structure-preserving method to investigate the nonsmooth strong coupling dynamic problem effectively.

作为一个典型的非光滑强耦合动力学问题,对受到斜冲击的板进行振动分析,需要我们开发出能够很好地处理非光滑强耦合问题的有效方法。本文以冲击系统的局部动力学行为为重点,采用广义多折线法来重现弹性地基上的有限板受到斜冲击时的动力学响应。首先,根据多折射理论推导出描述弹性地基上的有限板受到斜冲击时振动的动态方程的一阶近似对称形式。然后,针对一阶近似对称形式构建了与普赖斯曼方案等效的广义多交点方案。最后,通过有限元法和数值模拟中的近似理论解,验证了广义多折中方案的有效性和高精度。根据数值结果,详细讨论了斜面冲击角度参数对板最大横向位移的影响。本研究的主要贡献在于提出了一种有效研究非光滑强耦合动力问题的结构保留方法。
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引用次数: 0
Vibration and damping characteristics of auxetic honeycomb sandwich panels with polyurea-metal laminate face sheets 带有聚脲金属层压板面片的辅助蜂窝夹层板的振动和阻尼特性
IF 0.9 4区 材料科学 Q2 Mathematics Pub Date : 2024-03-27 DOI: 10.2140/jomms.2024.19.435
Qiang He, Jiamei Zhu, Lizheng Li, Yun Guo, Dejun Yan

All-metal sandwich panels of auxetic honeycomb are usually ultralight and robust but have poor vibration damping. The in-plane auxetic honeycomb sandwich panels (AHSPs) with polyurea-metal laminate (PML) were presented, and its vibration and damping characteristics were studied. The damping characteristic analysis model of the auxetic honeycomb sandwich structure of the PML panel was created by ABAQUS and the model was verified. The frequency/time response curve, natural frequency, mode shapes, and damping loss factor were simulated by the finite element (FE) method, which was then compared with the sandwich plate without a polyurea layer. To investigate potential enhancement processes and examine vibration-damping characteristics, a finite element-modal strain energy (FE-MSE) integrated approach was put forward, taking into account the natural frequency and damping behavior of polyurea. The damping of the PML panel significantly increased due to the viscoelastic energy consumption of the polyurea layer. By reasonably adjusting the thickness and distribution of the polyurea layer, the passive damping ability of sandwich panels can be further enhanced. The frequency and damping loss factor of the AHSPs were able to be successfully improved by raising the thickness of the polyurea layer. The symmetric PML-A laminate was better than the asymmetric structure in vibration reduction, and the damping loss factor can grow from 29% to 40%, with a thickness ratio of 33.

全金属辅助蜂窝夹层板通常具有超轻和坚固的特点,但减振性能较差。本文介绍了带有聚脲金属层压板(PML)的面内辅助蜂窝夹层板(AHSP),并对其振动和阻尼特性进行了研究。利用 ABAQUS 建立了 PML 面板辅助蜂窝夹层结构的阻尼特性分析模型,并对模型进行了验证。通过有限元(FE)方法模拟了频率/时间响应曲线、固有频率、模态振型和阻尼损失因子,然后与没有聚脲层的夹层板进行了比较。考虑到聚脲的固有频率和阻尼行为,为了研究潜在的增强过程和振动阻尼特性,提出了一种有限元-模态应变能(FE-MSE)综合方法。由于聚脲层的粘弹性能量消耗,PML 面板的阻尼显著增加。通过合理调整聚脲层的厚度和分布,可以进一步提高夹芯板的被动阻尼能力。通过增加聚脲层的厚度,成功地提高了 AHSP 的频率和阻尼损失因子。对称 PML-A 层压板的减振效果优于非对称结构,在厚度比为 33 的情况下,阻尼损失因子可从 29% 增长到 40%。
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引用次数: 0
期刊
Journal of Mechanics of Materials and Structures
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