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Comparative study of elastic properties measurement techniques during plastic deformation of aluminum, magnesium, and titanium alloys: application to springback simulation.
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2025-01-01 Epub Date: 2024-11-29 DOI: 10.1007/s11012-024-01918-8
J A Nietsch, A C Ott, G Watzl, A Cerny, F J Grabner, C Grünsteidl, J A Österreicher

Reliable determination of the elastic moduli of metals can be quite demanding, especially as the apparent elastic modulus of metals is known to decrease with deformation. Traditionally, this dependence on plastic strain has been investigated through various tensile tests, but discrepancies persist across the different approaches. Here we compare several tensile test-based evaluation protocols based on loading-unloading experiments to measure the change in elastic moduli of the light metal alloys AZ31B, EN AW-6082, and Ti-6Al-4V during tensile deformation. Additionally, the initial Young's modulus determination via tensile testing, three-point-bending experiments, contact-free laser ultrasonic zero-group-velocity plate resonance, and piezoelectric contact ultrasonic time-of-flight measurements were compared. The results reveal non-negligible differences in the strain-dependency of elastic moduli between the determination techniques. Additionally, the laser ultrasound measurements demonstrate an improved accuracy and repeatability for the determination of the initial elastic moduli of light metal sheets. The benefit of considering the reduction of the elastic moduli in finite element springback simulation of three-point-bending tests is demonstrated and the use of the chord modulus is found to be generally most appropriate.

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引用次数: 0
Dynamic mechanical behavior of ice with different cotton contents 不同含棉量冰的动态力学行为
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-12-12 DOI: 10.1007/s11012-024-01915-x
Kai Guo, Yusen Zhang, Enling Tang, Zhiqiang Liang, Mengzhou Chang, Yafei Han, Chuang Chen, Liping He

In order to study the dynamic compressive mechanical properties of hail, artificial ice specimens were prepared by adding cotton wool into deionized-distilled water. Dynamic compression experiments of ice specimens under different strain rates were carried out by using the Split Hopkinson Pressure Bar (SHPB). Furthermore, based on finite element software LS-DYNA, numerical simulations were conducted to evaluate applicability of mechanical parameters of ice under impact load. The results show that the specimens have a secondary loading phenomenon under the action of stress wave, and this phenomenon is more obvious with the increase of cotton content; under a given content of cotton and low strain rate, the compressive strength of ice is increased with the increasing of the strain rate; under high strain rate, the compressive strength of ice with 0% and 0.3% cotton is maintained as a constant, but a discrete result is observed for ice with 0.5% cotton; when the velocity of impact bar is in the range of 1.35–11.83 m/s, the compressive strengths of the specimens with cotton content of 0%, 0.3% and 0.5% are 3.3 MPa, 4 MPa and 8.1 MPa, respectively. Beyond that, morphology analysis shows that the edge of the specimen is damaged during impact process and the flying velocity of fragments increases with external force.

为了研究冰雹的动态压缩力学性能,在去离子蒸馏水中加入棉絮制备了人工冰试件。采用分离式霍普金森压杆(SHPB)对冰试件进行了不同应变率下的动态压缩实验。在此基础上,基于LS-DYNA有限元软件进行了数值模拟,评估了冰在冲击载荷作用下力学参数的适用性。结果表明:在应力波作用下,试件存在二次加载现象,且随着含棉量的增加,这种现象更为明显;在一定棉花掺量和较低应变速率下,冰的抗压强度随应变速率的增大而增大;在高应变速率下,添加0%和0.3%棉花的冰的抗压强度保持恒定,而添加0.5%棉花的冰的抗压强度则是离散的;当冲击杆速度为1.35 ~ 11.83 m/s时,含棉量为0%、0.3%和0.5%的试样抗压强度分别为3.3 MPa、4 MPa和8.1 MPa。除此之外,形貌分析表明,试样在冲击过程中边缘被破坏,碎片的飞行速度随着外力的增加而增加。
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引用次数: 0
Preface to the Special Issue of Meccanica “Sixty years of thermodynamics of continuous media (1963–2023)” 《力学》专刊《连续介质热力学六十年(1963-2023)》序言
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-17 DOI: 10.1007/s11012-024-01900-4
Vito Antonio Cimmelli, David Jou, Antonio Sellitto
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引用次数: 0
Design and simulation of a desk-size parallel kinematic machine for simulation of seismic events 用于模拟地震事件的台式并联运动机的设计与仿真
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-15 DOI: 10.1007/s11012-024-01911-1
Sergio Pacioni, Luca Carbonari, Milena Martarelli, Massimo Callegari

This paper presents the design process and the virtual testing of a lab equipment for earthquake simulations. The machine object of study is a redundantly actuated platform with parallel kinematics topology. As known, this kind of architecture owns extremely interesting features which make PKMs (Parallel Kinematics Machines) particularly feasible for recreating seismic events, in terms of displacements, accelerations and, consequently, inertial solicitations. Nonetheless, the use of a parallel over-actuated structure makes the design process challenging under many points of view: the mechanics, the sensorisation, and even the control of the shaking device must be tackled carefully from the design stage to come out with effective solutions. The paper provides details around the choices performed and shows the results of a dynamic simulations campaign to demonstrate the performance offered by the simulator in an actual use case.

本文介绍了地震模拟实验设备的设计过程和虚拟测试。研究的机械对象是一个具有并联运动拓扑结构的冗余驱动平台。众所周知,这种架构具有非常有趣的特性,使得pkm(并联运动学机器)在重建地震事件方面特别可行,包括位移、加速度以及惯性请求。尽管如此,平行过度驱动结构的使用使得设计过程在许多方面都具有挑战性:力学,传感器,甚至震动装置的控制必须从设计阶段开始仔细处理,以得出有效的解决方案。本文提供了关于所执行的选择的详细信息,并展示了动态模拟活动的结果,以演示模拟器在实际用例中提供的性能。
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引用次数: 0
Nonlinear control and parametric uncertainties of flexible-joint robots 柔性关节机器人的非线性控制与参数不确定性
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-15 DOI: 10.1007/s11012-024-01891-2
Jeferson J. Lima, Mauricio A. Ribeiro, Max M. D. Santos, Frederic C. Janzen, Jose M. Balthazar, Angelo M. Tusset

This study examines the relationship between the nonlinear behavior of the flexible joints of a fourth-degree-of-freedom robot and the controllability and parametric uncertainties of the system. The initial section of the paper presents the dynamic modeling of the robot and the proposed control strategies. This is followed by a parametric sensitivity analysis, which defines the optimal control strategy to be applied. Finally, the configuration of the experimental robot with flexible joints is presented. The SDRE and LQR strategies are related in the study, both in discrete mode and intended for use in the control unit. The final phase of the study involved the presentation of the results obtained when the robot was controlled using flexible joints. The findings demonstrated a positive outcome for the SDRE control strategy.

研究了四自由度机器人柔性关节的非线性行为与系统的可控性和参数不确定性之间的关系。论文的第一部分介绍了机器人的动力学建模和提出的控制策略。然后进行参数灵敏度分析,确定要应用的最优控制策略。最后,给出了柔性关节实验机器人的结构。SDRE和LQR策略在研究中是相关的,无论是在离散模式下还是在控制单元中使用。研究的最后阶段包括展示使用柔性关节控制机器人时获得的结果。研究结果显示了SDRE控制策略的积极结果。
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引用次数: 0
Nonlinear magneto-mechanical combined vibration characteristics of magnetic gear two-speed transmission 磁齿轮双速传动的非线性磁-机械联合振动特性
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-14 DOI: 10.1007/s11012-024-01909-9
Junliang Du, Dawei Liu, Tingzhi Ren, Yixuan Tian

The replacement of mechanical planetary gears with magnetic gears (MGs) is an emerging transmission solution for electric vehicles that reduce shock and vibration. This article proposes magnetic two-speed transmission and examines the influence of the noncontact torque of MGs, the meshing stiffness of mechanical gears, and the system load on the vibration of magneto-mechanical combined transmission systems. First, the noncontact torque of an MG is analysed on the basis of the magnetic field modulation principle. A set of dynamic equations was subsequently constructed on the basis of the centralized parameter method. Thereafter, with the principle of harmonic balance, a rapid method for constructing a nonlinear vibration harmonic balance solution for a magneto-mechanical combined vibration system in matrix form is obtained. Finally, simulations and prototype tests were conducted. The results show that noncontact torque consists of stable torque and ripple torque. They also interact with mechanical gears to affect system vibration. he vibration amplitude of the inner rotor is sensitive to the pulsating torque, whereas the vibration of the ferromagnetic pole-pieces is sensitive to the meshing stiffness. The stable torque and load dynamic balance affect the natural frequency of the system. The system demonstrates “load‒stiffness adaptive” characteristics compared with those of pure mechanical gearing. The proposed Harmonic Balance Method can quickly calculate this characteristic, and it offers a theoretical basis for dynamic analysis and vibration reduction in magnetic two-speed transmissions.

用磁性齿轮(mg)代替机械行星齿轮是电动汽车减少冲击和振动的一种新兴传动解决方案。本文提出了磁力双速传动,并研究了磁力双速传动的非接触转矩、机械齿轮的啮合刚度和系统负载对磁力-机械联合传动系统振动的影响。首先,基于磁场调制原理分析了永磁转子的非接触转矩。基于集中参数法,建立了一组动力学方程。在此基础上,利用谐波平衡原理,给出了一种矩阵形式的磁-机组合振动系统非线性振动谐波平衡解的快速构造方法。最后进行了仿真和样机试验。结果表明,非接触转矩包括稳定转矩和脉动转矩。它们还与机械齿轮相互作用,影响系统振动。内转子的振动幅值对脉动转矩敏感,而磁极片的振动幅值对啮合刚度敏感。稳定转矩和负载的动平衡影响系统的固有频率。与纯机械传动相比,该系统具有“载荷-刚度自适应”特性。所提出的谐波平衡法可以快速计算该特性,为磁性双速变速器的动力学分析和减振提供了理论依据。
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引用次数: 0
Effects of turbulence boundary conditions on Spalart-Allmaras RANS simulations for active flow control applications 湍流边界条件对主动流动控制应用的Spalart-Allmaras RANS模拟的影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-14 DOI: 10.1007/s11012-024-01904-0
Navid Monshi Tousi, Josep M. Bergadà, Fernando Mellibovsky

We assess the suitability of Reynolds-Averaged Navier–Stokes (RANS) simulation using the Spalart-Allmaras (SA) turbulence model as a closure in analysing the performance of fluidic Active Flow Control (AFC) applications. In particular, we focus on the optimal set of actuation parameters found by Tousi et al. (Appl Math Model, 2021) and Tousi et al. (Aerospace Sci Technol 127:107679, 2022) for a SD7003 airfoil at a Reynolds number (Re=6times 10^4) and post-stall angle of attack (alpha =14^circ) fitted with a Synthetic Jet Actuator (SJA). The Large Eddy Simulation (LES) presented in that work is taken as the reference to identify the best choice of boundary conditions for the turbulence field (tilde{nu }) at both domain inlet and jet orifice in two-dimensional SA-RANS computations. Although SA-RANS is far less accurate than LES, our findings show that it can still predict macroscopic aggregates such as lift and drag coefficients quite satisfactorily and at a much lower computational cost, provided that turbulence levels of the actuator jet are set to a realistic value. An adequate value of (tilde{nu }) is instrumental in capturing the correct flow behaviour of the reattached boundary layers for close-to-optimal actuated cases. This validates the use of RANS-SA as a reliable and cost-effective simulation method for the preliminary optimisation of SJA parameters in AFC applications, provided that thorough sensitivity analysis on turbulence-related boundary conditions is performed. Given the strong sensitivity of flow detachment on the laminar or turbulent nature of boundary layers, our results suggest that such analyses are particularly indispensable for vastly separated flow scenarios in general, notably for bluff bodies at moderate transcritical Reynolds numbers.

我们使用Spalart-Allmaras (SA)湍流模型来评估reynolds - average Navier-Stokes (RANS)模拟在分析流体主动流动控制(AFC)应用性能中的适用性。我们特别关注了Tousi等人(应用数学模型,2021)和Tousi等人(航空航天科学技术127:107679,2022)发现的SD7003翼型在雷诺数(Re=6times 10^4)和失速后攻角(alpha =14^circ)下安装合成射流致动器(SJA)的最佳驱动参数集。本文以大涡模拟(LES)为参考,确定了二维SA-RANS计算中湍流场(tilde{nu })边界条件的最佳选择。尽管SA-RANS远不如LES精确,但我们的研究结果表明,只要将执行器射流的湍流水平设置为现实值,它仍然可以非常令人满意地预测升力和阻力系数等宏观聚集,并且计算成本要低得多。对于接近最佳的驱动情况,(tilde{nu })的适当值有助于捕获重新附着的边界层的正确流动行为。这验证了ranss - sa作为AFC应用中SJA参数初步优化的可靠且经济的模拟方法,前提是对湍流相关的边界条件进行彻底的灵敏度分析。考虑到流动分离对边界层层流或湍流性质的强烈敏感性,我们的研究结果表明,这种分析对于一般情况下的大分离流动情况尤其必要,特别是对于中等跨临界雷诺数的钝体。
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引用次数: 0
Effect of SFD on rubbing-induced vibration characteristics in dual-rotor-blade-casing system SFD对双转子-叶片-机匣系统摩擦激振特性的影响
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-08 DOI: 10.1007/s11012-024-01903-1
Songtao Zhao, Ming Liu, Hui Ma, Hong Guan, Shan Chang, Xinxing Ma, Bangchun Wen

In a dual-rotor (DR)-blade-casing system, the squeeze film damper (SFD) plays a crucial role in vibration suppression to reduce the vibration level. This paper investigates the impact of SFD on the vibration responses, specifically considering blade-casing rubbing. The Timoshenko beam element is employed to simulate the casing and rotor, while the blade and disk are established using the lumped-mass element. A dynamic model of the DR-blade-casing system with SFD is then developed, incorporating the effects of rubbing. The influence of parameters such as unbalance and blade-casing clearance on the dynamic response is analyzed for systems with and without SFD. The results indicate that SFD effectively reduces the amplitude of the characteristic frequency corresponding to 4-blade rubbing. Additionally, the rubbing fault also induces the combined frequencies between rotating frequencies, integer frequencies, and fractional frequencies. These findings offer valuable insights for fault diagnosis and aero-engine system design.

在双转子-叶片-机匣系统中,挤压膜阻尼器在降低振动水平方面起着至关重要的作用。本文特别考虑了叶片-机匣摩擦对振动响应的影响。采用Timoshenko梁单元模拟机匣和转子,采用集总质量单元建立叶片和盘。在此基础上,建立了考虑摩擦影响的含SFD的dr -叶片-机匣系统动力学模型。分析了不平衡、叶片-机匣间隙等参数对系统动态响应的影响。结果表明,SFD有效地降低了四叶片摩擦对应的特征频率幅值。此外,摩擦故障还诱发了旋转频率、整数频率和分数频率的组合频率。这些发现为故障诊断和航空发动机系统设计提供了有价值的见解。
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引用次数: 0
Stability analysis of axially loaded sandwich beams with a five-layered composite core made of viscoelastic and functionally graded material layers 粘弹性与功能梯度五层复合芯层轴向加载夹芯梁稳定性分析
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-07 DOI: 10.1007/s11012-024-01889-w
Satyajit Panda, Nitin Kumar

In this paper, a five-layered viscoelastic composite laminate is proposed for the constrained layer damping (CLD) treatment of axially loaded beam structures. The CLD arrangement is taken in the conventional form of a sandwich beams. But, the main focus is to investigate the change in the static and dynamic stability characteristics of the axially loaded sandwich beam while the conventional pure viscoelastic core layer is replaced by the present five-layered composite laminate. First, the design of the five-layered composite laminate using three viscoelastic and two meatal-ceramic functionally graded (FG) material layers is presented. Next, an incremental nonlinear finite element model of the axially loaded sandwich beam is formulated based on the fractional Zener constitutive relation and harmonic balance method (HBM). The HBM is implemented with an arbitrary number of harmonic terms. The corresponding complexity in the formulation of the nonlinear system matrices/vectors is handled using a special factorization of the nonlinear strain–displacement matrix and an analytical time-integration strategy. The numerical results mainly illustrate the influence of the geometrical and graded material properties of the FG layers on the critical buckling load and damping in the axially loaded sandwich beam. These results reveal that the five-layered composite core provides not only an augmented damping for attenuation of vibration through the parametric resonance but also a significantly improved static stability of the axially loaded sandwich beam in comparison to the conventional pure viscoelastic core. Therefore, the present five-layer composite laminate may be a potential material for an improved CLD treatment of axially loaded beam structures.

本文提出了一种用于轴向载荷梁结构约束层阻尼(CLD)处理的五层粘弹性复合层板。CLD的布置采用传统的夹层梁形式。但是,主要研究的是轴向加载夹层梁的静、动稳定特性的变化,而传统的纯粘弹性核心层被五层复合材料层合板所取代。首先,设计了由三层粘弹性材料和两层肉陶瓷功能梯度材料组成的五层复合材料层板。其次,基于分数阶齐纳本构关系和谐波平衡法,建立了轴向加载夹层梁的增量非线性有限元模型。HBM是用任意数量的谐波项实现的。利用非线性应变-位移矩阵的特殊因式分解和解析时间积分策略处理了非线性系统矩阵/向量的相应复杂性。数值结果主要说明了FG层的几何特性和材料梯度特性对轴向加载夹层梁临界屈曲载荷和阻尼的影响。结果表明,与传统的纯粘弹性芯相比,五层复合芯不仅可以通过参数共振衰减振动,而且可以显著提高轴向加载夹层梁的静稳定性。因此,本发明的五层复合层压板可能是一种改进轴向载荷梁结构CLD处理的潜在材料。
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引用次数: 0
Design of a 6-supports exactly constrained supporting system for superconducting magnets and its application to rotating gantries for cancer therapy 六支撑式超导磁体精确约束支撑系统的设计及其在癌症治疗旋转龙门上的应用
IF 1.9 3区 工程技术 Q3 MECHANICS Pub Date : 2024-11-01 DOI: 10.1007/s11012-024-01896-x
Luca Piacentini, Luca Dassa, Diego Perini, Andris Ratkus, Toms Torims, Stefano Uberti
<div><p>In particle therapy for cancer treatment, the radiation dose to tissues around the tumour can be reduced by employing a rotating gantry—a mechanical structure allowing the delivery of the particle beam to the patient from various angles. Gantries for ion therapy can benefit from the integration of superconducting magnets to minimize the size and weight of the machine. One significant challenge associated with the supporting system of superconducting elements is related to the management of their accuracy during both alignment and operational phases. Concurrently, heat flow from room temperature to cryogenic temperatures through the supporting system must be restricted as the ratio of power needed to operate the cooling system is around 1000 times the power extracted at cryogenic temperature. The design of the supports must consider the variability of the load during operation, i.e. guarantee accuracy of the cold-mass pose (position and rotation) under its own weight during a <span>({360,mathrm{ ^{circ }}})</span> gantry rotation. A literature review had been done highlighting the possible application of a novel exact-constrained solution for the support of superconducting magnets. Within the framework of the European project HITRIplus (heavy Ion Therapy Research Integration), this study proposes the design and optimization of a support system based on a <span>(6)</span> degrees of freedom parallel mechanism (exactly constrained kinematics). A mathematical model is proposed, referred as “error model”, to estimate the accuracy of the pose of the cold-mass due to major unrecoverable errors. The error model estimates the contribution of main error sources: the elasticity of the supports, the elasticity of the vacuum vessel enclosure and the influence of backlash in the joints. An optimization genetic algorithm has been developed and employed to find the optimal configuration of supports that simultaneously increases the accuracy and minimizes heat-loads to the cold-mass. The error model has been validated by finite element analysis, showing its validity for the optimization process. The optimised solution has been compared to solutions that were proposed initially based on common sense, intuition and had been manually refined: the optimized solution shows considerable improvements in the overall accuracy of the system and a substantial reduction of the heat-loads. The optimized solution also implements a pre-load system to eliminate backlash in the joints: this considerably improves the accuracy of the system. The error model presented allows computationally cheaper optimizations and variations of the designed architecture (i.e. variation in cross sections, change in material, change in geometry, implementation of pre-load etc...) with respect to a classic approach based only on finite element analysis. Furthermore, thanks to the kinematics characteristic of the proposed architecture, the 6-legs design clears the way for a more reliable imple
在用于癌症治疗的粒子疗法中,通过使用旋转龙门(一种允许从不同角度向患者输送粒子束的机械结构),可以减少对肿瘤周围组织的辐射剂量。离子治疗的龙门可以受益于超导磁体的集成,以尽量减少机器的尺寸和重量。超导元件支撑系统面临的一个重大挑战是在校准和运行阶段对其精度的管理。同时,通过支撑系统从室温到低温的热流必须受到限制,因为运行冷却系统所需的功率比大约是在低温下提取的功率的1000倍。支架的设计必须考虑运行过程中负载的可变性,即保证在({360,mathrm{ ^{circ }}})龙门旋转过程中在自身重量下冷块姿态(位置和旋转)的准确性。一篇文献综述强调了一种新的精确约束解决方案在超导磁体支撑中的可能应用。在欧洲项目HITRIplus(重离子治疗研究集成)的框架下,本研究提出了基于(6)自由度并联机构(精确约束运动学)的支撑系统的设计和优化。提出了一个数学模型,称为“误差模型”,用于估计由于重大不可恢复误差而导致的冷团位姿精度。该误差模型估计了主要误差源的贡献:支撑弹性、真空容器外壳弹性和关节间隙的影响。提出了一种优化遗传算法,并将其应用于寻找同时提高精度和最小化冷质量热负荷的最优支撑结构。通过有限元分析对误差模型进行了验证,验证了误差模型在优化过程中的有效性。将优化后的解决方案与最初基于常识、直觉和人工改进提出的解决方案进行了比较:优化后的解决方案在系统的整体精度方面有了相当大的提高,并大幅降低了热负荷。优化的解决方案还实现了预加载系统,以消除关节中的间隙:这大大提高了系统的精度。与仅基于有限元分析的经典方法相比,所提出的误差模型允许计算成本更低的优化和设计结构的变化(即横截面的变化,材料的变化,几何形状的变化,预加载的实现等)。此外,由于所提出的架构的运动学特性,6腿设计为更可靠地实现自动定位系统扫清了道路,而不是传统的过度约束架构。
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Meccanica
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