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[高级讨论区] 数字双胞胎--未来会向Matrix电影中一样吗?

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发表于 2018-7-3 14:44:09 | 显示全部楼层 |阅读模式 来自 福建

译者注:


在Matrix这部电影中,主人公恍然发现自己生活在虚拟的数字世界里。这科幻的场景,是否有天会成真呢?在虚拟的世界中,是否可以创造一个你的数值双胞胎,重复着你的生长轨迹,甚至能预测你的行为?真是细思极恐。那今天我们不聊科幻,看点儿实在的--工业数值仿真正在做这样一件事,就是创建一个现实产品的数字双胞胎,从而对产品从设计到生产等全生命周期进行仿真。这是工业4.0的一项重要内容。



数字双胞胎的概念并不是个新鲜词儿。但就像工业4.0的许多事务一样,数字双胞胎的出现越来越频繁,这是技术融合的结果。

多亏了云计算、物联网(IoT)、先进的模拟和大量的计算,数字双胞胎无疑是一种需要关注的新兴技术,业界正花费大量资金来跟上其发展。

在本文中,我们将介绍数字双胞胎的基础知识,并与参与数字双胞胎开发的不同公司的专家进行交流,以了解这项技术目前的地位。

数字双胞胎101

数字双胞胎是指真实系统的虚拟化展现(往往是三维的)。

在虚拟同胞和与之匹配的现实同胞之间有一个数据流,通过现实系统上的传感器,虚拟同胞系统会被更新,这样现实系统的状态就可以被实时监控。这个过程不仅仅是对真实系统的状态更新。可以对虚拟系统进行编程,以运行假设的场景,从而获取最佳参数。

通常,数字双胞胎包含不同的层,每个虚拟层代表一个等效的物理层。这些层可以包括物理、材料、结构、电子、流体等。

只要系统能被测量,就可以在数字双胞胎中建模,并且从真实的系统中获取的数据越多,数字副本就会越强大和准确。我们在大数据和云时代捕捉、处理和模拟的能力使这一切成为可能。数字双胞胎正是工业4.0的产物。

无论是事后诊断或者事前预测,我们可以从数字双胞胎获得许多信息。这些信息可以用来减少停机时间和增加投资回报。它甚至可以从实际的生命服务周期追溯到产品开发阶段,从而在一个封闭的产品全生命周期内,使未来的产品持续优化成为可能。最后一点是IoT驱动的产品开发中的一个共同主题。在过去,产品开发通常在产品交付给客户时就结束了。

那种时代已经一去不复返了,产品反馈的内容远远超出了本身的服务信息。随着产品效率的增长,它的双胞胎也在成长,反之亦然。数字双胞胎可以用作沙盒,来测试新的想法,这些想法可以为现实生活中它的同伴提供信息。现实中的同伴也可以它的数字双胞胎。数据流是一个真实的双向过程,数字版本和硬件可以一起发展。

“数字双胞胎为现实世界创造了一种身临其境、精确的数字表达方式,提供了一种与现实世界互动的新方式。”Autodesk高级研究工程师希瑟·克里克(Heather Kerrick)说。

“我们探索数字双胞胎作为硬件的编程环境,比如六轴机械臂,除了监控设备本身,用户可以在数字双胞胎上积极地对修改他们的设备和流程,然后看到这些变化反映在物理双胞胎身上。”

万能的双胞胎

    根据行业和应用案例,数字双胞胎可以有多种形式。

例如,生产线可以有一个显示状态的数字双胞胎,它可以连接到任何显示故障的支线和传输线。同样的数字双胞胎甚至可以连接到有限元分析平台,可以显示产品设计的变化如何影响设备的实际运行和效率。

在最极端的情况下,生产线可能在组装战斗机,每一个有形的部件和系统都被镜像成一个三维模型。想知道为什么起落架卡住了吗?只要点击模型上的起落架,它就会放大成一个子系统。可以继续放大,直到你发现问题。想在飞机上测试一些新的控制界面吗?只需将它们添加到数字双胞胎中并进行模拟。

或者我们举荷兰的一座3D打印的桥为例。在Autodesk的帮助下,MX3D公司设计了这座桥。桥的原型和最终版本都有数字双胞胎,用于不同的目的。

“我们的“智能桥”原型在Autodesk的Pier 9技术中心有一个有效的数字双胞胎,是基于Revit模型,这是一个简单的结构,因此不需要捕捉竣工模型构建数字双胞胎。“Alec Shuldiner说,他是Autodesk的物联网研究员,作为项目经理负责与MX3D的合作。

“这是用来显示传感器位置的,通过Autodesk的项目Dasher 360,近似实时的数据是由这些传感器产生的。在传感器数据的基础上,我们使用机器学习算法让生成智能。当然目前还没有显示数字双胞胎中的智能属性(比如占用数量)。在未来,我们将升级数字双胞胎,不仅显示数据流,还显示机器语言输出。”

“最终版的桥已经基本完成,但传感器网络还没有组装或开始应用,”舒尔纳继续说道。“我们预期今年晚些时候推出与数字双胞胎相同的位置传感器,是源于桥设计时本身已经加载的。这些传感器生成的实时数据流,基于机器语言的智能来源于这些数据流,包括总体结构实时状态,还有一个重要的例外:数字模型的基础是将竣工的大桥扫描的数据(这是必要的,因为竣工和设计会有显著偏差)。”

正如您所看到的,数字双胞胎对所有人来说都是适用的,它们的应用程序会根据行业和具体情况不同。可以在双胞胎中显示的数据归根结底取决于双胞胎设计者的聪明才智,以及需要测量的是什么。如果能被测量,就能被管理。正是这种通过有效的产品生命周期管理而增加的洞察力,使数字双胞胎成为一个有吸引力的提议。

PLM解决方案副总裁Francois Lamy说:“物理资产与数字定义的融合将会在整个组织中产生乘数效应:从新产品设计到商业模式,最终可以得到更好的工程决策、提高效率和可靠性。”

“通过分析产品在现实世界中的使用情况,制造商能够做出更好的决策,改进产品,更好地营销和销售。”从设计、制造到现场的产品数字记录将提供一个巨大的机会,通过未来的销售、召回或升级来提高盈利能力。

“然而,”Lamy继续说道,“制造商们需要在实现数字双胞胎之前,先通过智能的、联网的产品开发过程来管理和理解数据。”通过在数字产品定义中组织产品数据,提前设计具有互联能力的产品,并确保在整个产品生命周期中都有一个数字线程,制造商可以采取下一步以实现一个完整的数字双胞胎。

我们现在进展到什么程度

    市场分析巨头高德纳(Gartner)将“数字双胞胎”(digital twin)列为2018年十大战略技术趋势之一。因此,数字双胞胎在2017年毫无疑问地进入了Gartner定义的新兴技术炒作周期。

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