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Parametric Finite Element Analysis for Reduced Order Modeling of MEMS MEMS降阶建模的参数化有限元分析
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644004
V. Kolchuzhin, J. Mehner, T. Gessner, W. Doetzel
In this paper we describe a simulation methodology based on FEM to automatic generating reduced order models of coupled microelectro-mechanical systems (MEMS). In particular, the time consuming FE data sampling process should be replaced by a single finite element run. The idea of the new approach is to compute not only the governing system matrices but also high order partial derivatives with regard to design parameters by means of automatic differentiation. As result, Taylor vectors of the model response can be expanded in the vicinity of the initial position with regard to dimensional and physical parameters. The approach is demonstrated on example of a micromirror cell
本文介绍了一种基于有限元法的耦合微机电系统降阶模型自动生成的仿真方法。特别是,耗时的有限元数据采样过程应该被单一的有限元运行所取代。新方法的思想是不仅计算控制系统矩阵,而且用自动微分的方法计算关于设计参数的高阶偏导数。因此,模型响应的泰勒向量可以在初始位置附近展开,考虑到尺寸和物理参数。以微镜电池为例,对该方法进行了验证
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引用次数: 5
Shear Horizontal Surface Acoustic Wave Sensors Based on Polyaniline for Ammonia Gas Sensing 基于聚苯胺的剪切水平表面声波传感器用于氨气传感
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643945
Chi-Yen Shen, Cheng-Liang Hsu, De-Lu Wang
A shear horizontal surface acoustic wave (SH-SAW) sensor coated with polyaniline (PANI) was investigated in this study. The frequency shift of SH-SAW was measured for the response to ammonia in this study. The temperature effect was also discussed in order to find the suitable temperature of operation. The response of the SH-SAW sensor immediately responded the concentration of ammonia gas. Moreover, this sensor presented a sensitivity of 0.03 ppm/ppm at 23degC. The responses to ammonia decreased with decreasing temperature below 23degC
研究了聚苯胺涂层的剪切水平表面声波(SH-SAW)传感器。本研究测量了SH-SAW对氨反应的频移。为了找到合适的操作温度,还讨论了温度效应。SH-SAW传感器的响应立即响应氨气的浓度。此外,该传感器在23℃时的灵敏度为0.03 ppm/ppm。在23℃以下,温度越低,对氨的响应越小
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引用次数: 1
Reliability Issues in Cu/low-k Structures Regarding the Initiation of Stress-Voiding or Crack Failure Cu/低k结构中应力失效或裂纹失效的可靠性问题
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643960
S. Orain, A. Fuchsmann, V. Fiori, X. Federspiel
Continuous down scaling of the interconnect dimensions led to the introduction of copper and low-k dielectric materials. The use of such materials is challenging in the field of mechanical reliability, such as stress-induced voiding in copper interconnects and cracking of low-k dielectrics. Up to now these two failure modes were investigated separately. However, recent experimental observations tend to demonstrate the possibility of a complex interaction of both failure modes, one overwhelming or enhancing the other. In this paper a comparison of the risk of void or crack occurrence is made by the mean of finite element modelling. Further, the interaction between these two failure modes (voiding and cracking) is also studied
互连尺寸的不断缩小导致了铜和低k介电材料的引入。这种材料的使用在机械可靠性方面具有挑战性,例如铜互连中的应力诱导空洞和低k介电体的开裂。到目前为止,这两种失效模式是分别研究的。然而,最近的实验观察倾向于证明两种失效模式的复杂相互作用的可能性,一种压倒或增强另一种。本文采用有限元模拟的方法,对空洞和裂缝发生的危险性进行了比较。此外,还研究了两种破坏模式(空穴和开裂)之间的相互作用
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引用次数: 14
Hybrid Constant Temperature Regulator 混合式恒温调节器
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644021
K. ezni ek Zden, V. Tvarozek, I. Szendivich, M. ezni ek
A powerful temperature difference measuring relation method using the high resistance ratio-metric sensors which is improving the accuracy, because it can solve such problems as dependence of a sensor's sensitivity to such factors as power supply instability, ambient temperature, humidity, pressure, effects of self-heating, aging, etc. was presented in [ezni ek et al, 2001]. Many similar derivate relation ratio measuring and monitoring systems were developed for biosensor applications etc. presented in (Tvarozek et al., 2002), (Vavrinsky et al., 2003), and for micro-calorimetric applications (ezni ek and Szendiuch, 2005), (ezni ek et al., 2005) to time. The combination of these methods was studied for many applications in continual process constant temperature controlling. The process energy is balanced at defined constant temperature with the highest sensitivity and the lowest time-current delay using the special balance sensor consisted of electronic energy balance switching circuit with operational amplifier. The sensor heater contains of two asymmetric low resistance dividers in anti-parallel circuit wired to output of power linear operational amplifier: two of unequal resistors (Pt1 and Pt2) are temperature-dependent (Pt) and second couple of unequal resistors (R1 and R2) are temperature non-dependent (NiCr or AgPd). The sensor heater contains of four resistors ceramic substrate on realized, two of them (Pt1 and Pt2) are temperature-dependent (Pt) and second one (R1 and R2) are temperature non-dependent (NiCr or AgPd) resistors. The coefficient of asymmetry defined how resistance ratio K=Ptl/(Ptl+Pt2) is equal to R1/(R1+R2) and must be different of frac12. It means that the resistances of resistors Pt1 and Pt2 or R1 and R2 can't be the same. The temperature sensitivity VTCR of heater is defined by formula VTCR = -(2K-l)*TCR/4 and it is calibrate-able by trimming of coefficient K. Itself balance heater working temperature is defined by value of resistance R1 or R2 in relation to resistance of Pt1 or Pt2. The itself balance heater temperature is defined by equality R1=Pt1 or R2=Pt2 by relation Ty = (R1-Pt10)/TCR*Pt10, where the Pt10 is resistance of resistor Pt1 by temperature 0degC. This is first one of designed heater parameters. Second one is the current limit determined by the maximal heater output and the system power voltage by implication. Finally third one is heater temperature sensitivity defined hereinbefore
[ezni ek et al ., 2001]提出了一种功能强大的采用高电阻比计量传感器的温差测量关系方法,解决了传感器灵敏度对电源不稳定、环境温度、湿度、压力、自热影响、老化等因素的依赖,提高了测量精度。许多类似的衍生关系比测量和监测系统被开发用于生物传感器应用等,如(Tvarozek等人,2002),(Vavrinsky等人,2003),以及微热量应用(ezni ek和Szendiuch, 2005), (ezni ek等人,2005)。研究了这些方法的组合在连续过程恒温控制中的许多应用。利用带运算放大器的电子能量平衡开关电路组成的特殊平衡传感器,在规定的恒温下以最高的灵敏度和最低的时间-电流延迟进行过程能量平衡。传感器加热器包含两个不对称的低电阻分压器,在反并联电路中连接到功率线性运算放大器的输出:两个不相等电阻(Pt1和Pt2)是温度相关的(Pt),第二对不相等电阻(R1和R2)是温度无关的(NiCr或AgPd)。传感器加热器包含四个陶瓷衬底电阻,其中两个(Pt1和Pt2)是温度相关的(Pt),第二个(R1和R2)是温度非相关的(NiCr或AgPd)电阻。不对称系数定义了电阻比K=Ptl/(Ptl+Pt2)如何等于R1/(R1+R2),并且必须不同于frac12。这意味着电阻Pt1和Pt2或R1和R2的电阻不能相同。加热器的温度灵敏度VTCR由公式VTCR = -(2k - 1)*TCR/4定义,可通过调整系数k来校准。加热器本身的平衡工作温度由电阻R1或R2相对于电阻Pt1或Pt2的值来定义。自身平衡加热器的温度由等式R1=Pt1或R2=Pt2定义为Ty = (R1-Pt10)/TCR*Pt10,其中Pt10为电阻Pt1的电阻,温度为0℃。这是加热器的第一个设计参数。二是由最大加热器输出和隐含的系统电源电压决定的电流限制。最后,第三个是上文定义的加热器温度灵敏度
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引用次数: 6
EM Modeling of RF MEMS 射频MEMS的电磁建模
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644057
L. Vietzorreck
The modeling of RF MEMS circuits and components is an important issue, as by proper modeling and optimization of a structure prior to the technological realization the time for a production cycle can be reduced. RF MEMS are in general three-dimensional structured devices, which can be analyzed with all common design and simulation tools. On the other hand the geometrical dimensions, varying from a fraction of a micron to several millimeters, create aspect ratios that make the accurate full wave characterization of the device very challenging. Moreover, for small dimensions material parameters like conductor loss, roughness etc. Play an important role and have to be considered in a careful analysis. In this contribution a short overview over existing modeling tools, suitable for the analysis of RF MEMS will be given. Modeling strategies and critical aspects of the simulations will be discussed
射频MEMS电路和元件的建模是一个重要的问题,因为通过在技术实现之前对结构进行适当的建模和优化,可以减少生产周期的时间。RF MEMS一般是三维结构器件,可以用所有常见的设计和仿真工具进行分析。另一方面,几何尺寸从一微米到几毫米不等,产生的纵横比使得器件的精确全波特性非常具有挑战性。此外,对于小尺寸的材料参数,如导体损耗,粗糙度等。扮演着重要的角色,必须在仔细的分析中加以考虑。在这篇文章中,将简要概述现有的建模工具,适用于RF MEMS的分析。将讨论建模策略和模拟的关键方面
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引用次数: 14
Evolution of Semiconductor Packaging. Present and Future 半导体封装的演变。现在和未来
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644056
C. Cognetti
Summary form only given. Evolution of semiconductor packaging has taken impressive acceleration, under the pressure of new applications, combining very high volumes, innovation and cost effectiveness. Conventional single chip package completed its cycle, by reaching a die-to-package ratio close to one. And also wire bonding technology is getting close to its physical limits, at about 25-30 micron bonding pad pitch. New 3D interconnection technologies, like system in package (SiP), package on package (PoP) and, package in package (PiP), offer the unique advantage of integrating heterogeneous functions in the three dimensions of the package, which can be in some extent competitive with chip-level integration (system on chip - SoC)
只提供摘要形式。在新应用的压力下,半导体封装的发展已经取得了令人印象深刻的加速,结合了非常高的产量,创新和成本效益。传统的单芯片封装完成了其周期,达到了接近1的模包比。此外,金属丝键合技术正接近其物理极限,键合垫间距约为25-30微米。新的3D互连技术,如系统中封装(SiP)、包中封装(PoP)和包中封装(PiP),提供了在封装的三维空间中集成异构功能的独特优势,在某种程度上可以与芯片级集成(片上系统- SoC)相竞争。
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引用次数: 2
1 Gb stacked solution of multilevel NOR flash memory packaged in a LFBGA 8 mm by 10 mm by 1.4 mm of thickness 1gb多层NOR闪存的堆叠解决方案,封装在厚度为8mm × 10mm × 1.4 mm的LFBGA中
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643997
M. Dellutri, P. Pulici, D. Guarnaccia, P. Stoppino, G. Vanalli, T. Lessio, F. Vassallo, R. Di Stefano, G. Labriola, A. Tenerello, F. Lo Iacono, G. Campardo
The evolution of electronic world is running toward more and more complex devices even looking for a reduction of the overall system dimensions. This improvement is particularly evident in the wireless applications where portable devices are becoming the key products. Many different applications have been inserted in the last years to satisfy all the increasing final user requirements, without affecting the final device dimensions. This important goal was possible due to many technical achievements in term of integration, the stacked package solutions being the most relevant among them. This assembly technology allows putting more dice one upon the other in a unique package so exploiting its z-dimension. This work aims to describe a multi-memory stacked device of 1 Gb size of the NOR flash memory composed by a four 256Mb dice stacked structure. This solution allows increasing the memory size maintaining the electrical performances of the multilevel NOR flash i.e. speed class. The structure is composed by seven dice: four active and three dummy interposers to create the physical space for the wires bonding from die pads to package substrate (Titus et al., 2004). The package is a LFBGA (low fine pitch ball grid array) 8 mm by 10 mm by 1.4 mm with 88 balls (0.8 mm pitch). An embedded circuitry in the die implements the logic to allow the system to be managed as a monolithic 1 Gb. Moreover, a description of the electrical analysis is reported in order to highlight the electromagnetic interferences between the different dice and the signal integrity of the whole system. Some samples of the device have been assembled in a package without molding in order to make measurements even on the pad of the devices and other critical nodes internal into the package
电子世界的发展正朝着越来越复杂的设备发展,甚至寻求减少整体系统的尺寸。这种改进在无线应用中尤其明显,便携式设备正在成为关键产品。在过去的几年中,已经插入了许多不同的应用程序,以满足所有不断增长的最终用户需求,而不影响最终设备尺寸。由于集成方面的许多技术成就,这一重要目标成为可能,堆叠封装解决方案是其中最相关的。这种组装技术允许在一个独特的封装中放置更多的骰子,从而利用其z维度。本工作旨在描述一个由4个256Mb的骰子堆叠结构组成的1gb大小的NOR闪存多存储器堆叠器件。该解决方案允许增加内存大小,保持多电平NOR闪存的电气性能,即速度等级。该结构由7个骰子组成:4个有源和3个虚拟中间体,用于为从模垫到封装基板的导线键合创造物理空间(Titus等,2004)。该封装是LFBGA(低细间距球网格阵列),8mm × 10mm × 1.4 mm, 88个球(0.8 mm间距)。芯片中的嵌入式电路实现了逻辑,允许系统作为1gb的单片管理。此外,为了突出不同骰子之间的电磁干扰和整个系统的信号完整性,报告了电分析的描述。一些样品的设备已经组装在一个包没有成型,以便进行测量,甚至在垫的设备和其他关键节点内部的封装
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引用次数: 6
On the application of the BGK model to the simulation of fluid structure interaction in MEMS BGK模型在MEMS流固耦合仿真中的应用
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644007
C. Cereignani, A. Frangi, S. Lorenzani, A. Frezzotti
A three-dimensional quasi-static Stokes model, with a correction based on the kinetic theory of rarefied gas, is used to evaluate the damping forces exerted by gas flows on the moving surfaces of micromechanical structures in a wide range of pressures. Numerical results arc compared with the experimental data collected on a silicon biaxial accelerometer in the continuum and transitional flow regimes
采用基于稀薄气体动力学理论修正的三维准静态Stokes模型,对大压力范围内气体流动对微机械结构运动表面的阻尼力进行了计算。在连续流和过渡流两种流型下,将数值计算结果与硅双轴加速度计的实验数据进行了比较
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引用次数: 0
Prediction of high cycle fatigue in aluminum bond wires: A physics of failure approach combining experiments and multi-physics simulations 铝结合线高周疲劳预测:一种结合实验和多物理场模拟的失效物理方法
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1644022
J. Bielen, J.-J. Gommans, F. Theunis
Aluminum wire bonds, as used in a ceramic air cavity package for LDMOS, will intrinsically be prone to mechanical fatigue due to temperature and power cycling causing the wires to expand and shrink in a cyclical way. Under certain pulsed application conditions, the required amount of current cycles the product must survive is so high that not just low cycle fatigue, caused by cyclic plastic deformation, but also high cycle fatigue becomes a concern. This paper describes how in-situ monitored power cycling experiments, using the Joule heating of the bond wires, were performed on dedicated test structures at different stress levels with wire loop shapes and test settings critical enough to find failures within reasonable test times. Wire bond settings were varied to create different amounts of initial damage as introduced by the plastic deformation of the heel and the wedge. Finite element method was employed to calculate the stress amplitude in the heel of the bond wire in the experiments as function of current, pulse time and loop shape. This required a multi-physics approach using coupled electro-thermal and sequentially coupled thermo-mechanical simulations. The amount of initial damage was also estimated, using 2D FE simulations, in order to quantitatively take into account the initial plastic strains. With the measured failure times (Nf) and calculated stress amplitude (S) the durability or S-N curves for different amounts of initial damage could be derived and fitted with the Basquin model. These fitted models were used to predict the expected lifetime for specified field conditions. Furthermore the models can be used to derive `design for reliability rules' for wire loop shapes that will survive a specified user profile
用于LDMOS的陶瓷气腔封装中的铝线键,由于温度和功率循环导致导线以周期性的方式膨胀和收缩,本质上容易产生机械疲劳。在一定的脉冲应用条件下,产品必须存活的电流循环量是如此之高,以至于不仅是由循环塑性变形引起的低周疲劳,而且高周疲劳也成为一个问题。本文介绍了如何在不同应力水平下的专用测试结构上进行现场监测功率循环实验,利用结合线的焦耳加热,在线圈形状和测试设置足够关键的情况下,在合理的测试时间内发现故障。由于鞋跟和楔子的塑性变形,不同的金属丝粘结设置会产生不同数量的初始损伤。采用有限元法计算了实验中键合丝跟部应力幅值随电流、脉冲时间和回路形状的变化规律。这需要多物理场方法,使用耦合电热和顺序耦合热力学模拟。为了定量考虑初始塑性应变,还利用二维有限元模拟估计了初始损伤量。利用实测的破坏次数(Nf)和计算的应力幅值(S),可以推导出不同初始损伤程度下的耐久性或S- n曲线,并用Basquin模型进行拟合。这些拟合模型用于预测特定现场条件下的预期寿命。此外,这些模型还可用于推导“可靠性设计规则”,以使线圈形状在特定用户配置文件中存活下来
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引用次数: 40
On the Advantages of Using a Strong Coupling Variational Formulation to Model Electro-Mechanical Problem 论用强耦合变分公式模拟机电问题的优点
Pub Date : 2006-04-24 DOI: 10.1109/ESIME.2006.1643965
V. Rochus, D. Rixen, J. Golinval
This paper presents the advantages of a strong coupled formulation to model the electro-mechanical coupling appearing in MEMS. Usually the classical softwares use a staggered methodology iterating between two different codes to obtain the solution of the coupled problem. In this research a strong coupled formulation is proposed and a tangent stiffness matrix of the whole problem is computed. Using this matrix, nonlinear algorithms such as the Riks-Crisfield algorithm may be applied to solve the static nonlinear problem and determine accurately the static pull-in voltage. Moreover, the natural frequencies may be computed around each equilibrium positions. The dynamic behaviour of the structure may also be studied and two new parameters are defined: the dynamic pull-in voltage and the dynamic pull-in time. This strong coupled methodology deriving from variational principle may also be used for topology optimisation and extended finite elements
本文介绍了用强耦合公式来模拟微机电系统中出现的机电耦合的优点。经典软件通常采用交错方法在两种不同的代码之间迭代以获得耦合问题的解。在本研究中,提出了一个强耦合公式,并计算了整个问题的切向刚度矩阵。利用该矩阵,可以应用Riks-Crisfield算法等非线性算法求解静态非线性问题,准确确定静态拉入电压。此外,可以在每个平衡位置周围计算固有频率。结构的动力特性也可以进行研究,并定义了两个新的参数:动态拉入电压和动态拉入时间。这种由变分原理导出的强耦合方法也可用于拓扑优化和扩展有限元
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引用次数: 0
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微纳电子与智能制造
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