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A multi-regional MFSE topology optimization method for large-scale structures with arbitrary design domains 针对具有任意设计域的大型结构的多区域 MFSE 拓扑优化方法
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-28 DOI: 10.1016/j.advengsoft.2024.103778
Zhaoyou Sun , Tingxi Yuan , Wenbo Liu , Jiaqi He , Tiejun Sui , Yangjun Luo
Due to its exceptional mechanical properties, large-scale topology optimization with arbitrary design domains has become an attractive mission and facilitated the application of topology optimization methods in practical engineering applications. In this work, an extended material-field series expansion (MFSE) method that employs a multi-regional strategy with spatial-varied correlation length is proposed for arbitrary design domain and overcoming several shortcomings of the original MFSE method. The proposed approach involves dividing the design domain into multiple sub-regions through background grid mapping technology, where each sub-region is characterized by its own material field function. The evolution of these material-field functions is carried out independently driven by the design sensitivity of the objective function and constraints. As expected, the structures in any two adjacent sub-regions can be connected perfectly due to the continuity of the solution by mono-scale analysis. The proposed framework is scalable and can be utilized for parallel computation, arbitrary design domains, and different topology optimization problems. Several numerical examples, including 2D and 3D design domains with arbitrary geometries, are presented to validate the effectiveness of the proposed method in applying large-scale structures with arbitrary design domains.
由于其特殊的力学性能,任意设计域的大规模拓扑优化已成为一项具有吸引力的任务,并促进了拓扑优化方法在实际工程应用中的应用。在这项工作中,针对任意设计域提出了一种扩展的材料场序列展开(MFSE)方法,该方法采用了空间相关长度不同的多区域策略,克服了原始 MFSE 方法的若干缺点。该方法通过背景网格映射技术将设计域划分为多个子区域,每个子区域都有自己的材料场函数。在目标函数和约束条件的设计灵敏度的驱动下,这些材料场函数独立演化。正如预期的那样,由于单尺度分析求解的连续性,任何两个相邻子区域的结构都可以完美连接。所提出的框架具有可扩展性,可用于并行计算、任意设计域和不同拓扑优化问题。本文介绍了几个数值实例,包括具有任意几何形状的二维和三维设计域,以验证所提方法在应用具有任意设计域的大型结构时的有效性。
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引用次数: 0
Stochastic static analysis of functionally graded sandwich nanoplates based on a novel stochastic meshfree computational framework 基于新型随机无网格计算框架的功能分级夹层纳米板随机静态分析
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-28 DOI: 10.1016/j.advengsoft.2024.103780
Baikuang Chen , Zhanjun Shao , A.S. Ademiloye , Delei Yang , Xuebing Zhang , Ping Xiang
In this study, the spatial variability of materials is incorporated into the static analysis of functionally graded sandwich nanoplates to achieve higher accuracy. Utilising a modified point estimation method and the radial point interpolation method, we develop a novel stochastic meshfree computational framework to deal with the material uncertainty. Higher-order shear deformation theory is employed to establish the displacement field of the plates. The elastic modulus of ceramic and metal (Ec and Em) are treated as separate random fields and discretized through the Karhunen-Loève expansion (KLE) method. To improve the performance of procedure, the Wavelet-Galerkin method is introduced to solve the second type of Fredholm integral equation. Subsequently, substituting the random variables obtained by KLE into the stochastic computational framework, a high accuracy stochastic response of structures can be acquired. By comparing computed findings with those of Monte Carlo simulation, the accuracy and efficiency of developed framework are verified. Moreover, the results indicate that the plate's deflection exhibits varying sensitivities to the random fields Ec and Em. Also, the sandwich configuration as well as power-law exponents affect the stochastic response of structures. These findings offer valuable insights for the optimized design of functionally graded sandwich nanoplates.
本研究将材料的空间变异性纳入功能分级夹层纳米板的静态分析,以实现更高的精度。利用改进的点估计方法和径向点插值方法,我们开发了一种新型随机无网格计算框架来处理材料的不确定性。我们采用高阶剪切变形理论来建立板材的位移场。陶瓷和金属的弹性模量(Ec 和 Em)被视为独立的随机场,并通过卡尔胡宁-洛埃夫扩展(KLE)方法进行离散化处理。为了提高程序的性能,引入了 Wavelet-Galerkin 方法来求解第二类 Fredholm 积分方程。随后,将 KLE 得到的随机变量代入随机计算框架,可获得高精度的结构随机响应。通过将计算结果与蒙特卡罗模拟结果进行比较,验证了所开发框架的准确性和高效性。此外,结果表明,板的挠度对随机场 Ec 和 Em 的敏感性各不相同。此外,夹层结构和幂律指数也会影响结构的随机响应。这些发现为功能分级夹层纳米板的优化设计提供了宝贵的见解。
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引用次数: 0
Simultaneous optimization of capacity and topology of seismic isolation systems in multi-story buildings using a fuzzy reinforced differential evolution method 利用模糊强化微分进化法同时优化多层建筑隔震系统的容量和拓扑结构
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-27 DOI: 10.1016/j.advengsoft.2024.103781
Ali Mortazavi, Elif Çağda Kandemir
Inter-story isolation systems, as an alternative earthquake protection system, reduce in-building movement compared to base isolation systems. In this context, the current study focuses on simultaneously optimizing the topology and capacity of base and inter-story isolation systems for a multi-story building exposed to multiple earthquake scenarios. In addressing this challenge, an optimization model is developed that simultaneously considers both the topology (vertical arrangement) and capacity (required stiffness) of the seismic isolators as the decision variables of the model. To attain more practical and feasible solutions, the side constraints of the problem involve the inter-story drift and the total cost of seismic isolation systems. A gradient-free and self-adaptive search method, Fuzzy Differential Evolution incorporated Virtual Mutant (FDEVM), is employed to solve the optimization problem. The FDEVM approach applies a fuzzy mechanism to adopt its search behavior with governing condition(s) of the current problem. The selected method's performance is implicitly compared with its standard version. The obtained results indicate that optimally placing inter-story isolators with an optimal configuration and capacity not only improves the seismic performance of the systems but also its more cost-efficient approach compared with conventional based isolation systems. Also, the comparative outcomes indicate that the FDEVM method exhibits a high search capability for this class of problems.
与基座隔震系统相比,层间隔震系统作为一种可供选择的地震防护系统,可减少建筑物内部的移动。在这种情况下,当前研究的重点是同时优化暴露于多种地震情况下的多层建筑的基础和层间隔震系统的拓扑结构和承载能力。为应对这一挑战,我们开发了一个优化模型,同时将隔震装置的拓扑结构(垂直布置)和承载能力(所需刚度)作为模型的决策变量。为了获得更加切实可行的解决方案,问题的侧约束条件涉及层间漂移和隔震系统的总成本。为了解决优化问题,我们采用了一种无梯度和自适应搜索方法,即模糊差分进化虚拟突变(FDEVM)。FDEVM 方法采用模糊机制,根据当前问题的管理条件来调整搜索行为。所选方法的性能与其标准版本进行了隐式比较。得出的结果表明,以最佳配置和容量优化放置层间隔震器,不仅能提高系统的抗震性能,而且与传统的隔震系统相比,这种方法更具成本效益。此外,比较结果表明,FDEVM 方法对这类问题具有很强的搜索能力。
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引用次数: 0
Accelerated segregated finite volume solvers for linear elastostatics using machine learning 利用机器学习加速线性弹性力学的分离有限体积求解器
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-23 DOI: 10.1016/j.advengsoft.2024.103763
Scott Levie, Philip Cardiff
The segregated solution algorithm is widely used for solving finite volume continuum mechanics problems. One major contributor to the computational time requirement of this approach is the high number of outer iterations needed to achieve convergence. The methodology proposed in this work aims to decrease the computational time required by employing an artificial neural network to predict converged solution fields for linear elastostatic finite volume analyses. The machine learning model is trained on coarse mesh data using a sequence of consecutive initial unconverged displacement fields as inputs and the converged displacement field as the target. Subsequently, the trained model is used to predict the converged displacement field for a fine mesh case. The speedup calculation incorporates the time required to run the coarse mesh case and train the machine learning model. The typical speedups achieved using the proposed technique in this study range between 2 and 4. However, it has the potential to achieve higher speedups, with the maximum observed in this study being 13.3.
隔离求解算法被广泛用于求解有限体积连续介质力学问题。造成这种方法计算时间要求高的一个主要原因是需要大量的外部迭代来实现收敛。本研究提出的方法旨在利用人工神经网络预测线性弹性有限体积分析的收敛解场,从而减少所需的计算时间。机器学习模型以连续的初始未收敛位移场为输入,以收敛位移场为目标,在粗网格数据上进行训练。随后,利用训练好的模型预测细网格情况下的收敛位移场。加速计算包含了运行粗网格情况和训练机器学习模型所需的时间。在本研究中,使用所提技术实现的典型加速度在 2 到 4 之间。不过,它有可能实现更高的加速度,本研究中观察到的最大加速度为 13.3。
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引用次数: 0
Topology optimization of periodic structures under multiple dynamic uncertain loads 多重动态不确定负载下周期性结构的拓扑优化
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-16 DOI: 10.1016/j.advengsoft.2024.103777
Jinhu Cai, Jing Huang, Long Huang, Qiqi Li, Lairong Yin

Periodic structures have attracted considerable attention in lightweight design due to their high specific strength and stiffness. Despite this, existing topology optimization research on these structures typically focuses on deterministic, single-load cases. To address the limitations arising from real-world, variable load conditions, this study presents a robust method for the topology optimization of periodic structures under both multiple and uncertain load cases. The proposed model integrates the uncertainty of the load magnitude, direction, and excitation frequency, employing the weighted sum of the mean and standard deviation of the dynamic structural compliance modulus as the objective function, constrained by the volume fraction of the structure. A method for uncertainty quantification is introduced, utilizing the bivariate dimension reduction technique and Gauss-type quadrature. Leveraging the displacement superposition principle in linear elastomers, we provide a method to calculate the mean and standard deviation of the dynamic structural compliance modulus under these complex load cases. Additionally, the sensitivity of the objective function concerning design variables is derived. The effectiveness of the proposed method is verified through numerical examples, revealing the effect of load uncertainty on the topology optimization of periodic structures.

由于周期结构具有较高的比强度和比刚度,因此在轻量级设计中备受关注。尽管如此,关于这些结构的现有拓扑优化研究通常都集中在确定性的单载荷情况下。为了解决现实世界中可变载荷条件带来的限制,本研究提出了一种在多重和不确定载荷情况下对周期结构进行拓扑优化的稳健方法。所提出的模型综合了荷载大小、方向和激励频率的不确定性,采用动态结构顺应模量的均值和标准偏差的加权和作为目标函数,并受结构体积分数的约束。利用双变量降维技术和高斯四则运算,引入了一种不确定性量化方法。利用线性弹性体的位移叠加原理,我们提供了一种方法来计算这些复杂载荷情况下动态结构顺应性模量的平均值和标准偏差。此外,我们还得出了目标函数对设计变量的敏感性。通过数值实例验证了所提方法的有效性,揭示了载荷不确定性对周期性结构拓扑优化的影响。
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引用次数: 0
Comprehensive resilience assessment of bridge networks using ensemble learning method 利用集合学习法对桥梁网络进行综合复原力评估
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-12 DOI: 10.1016/j.advengsoft.2024.103774
Guojun Yang , Dongxu Wu , Jianbo Mao , Yongfeng Du

The assessment of seismic resilience in bridge networks holds significant importance for urban disaster prevention and mitigation efforts. Unlike individual bridges, there has been limited efficiency in assessing bridge networks. A seismic resilience assessment methodology for bridge networks using ensemble learning methods is proposed in this paper. Initially, a comprehensive resilience index is proposed, integrating both structural and functional aspects of bridge networks. Using 3 ensemble learning methods, 9 parameters related to network structure and traffic characteristics are chosen as input variables for predicting the seismic resilience index. Finite element models of 18 bridges are constructed and combined to generate 3500 sets of virtual bridge networks for model training. The predictive accuracy of models trained using the 3 ensemble methods exceeds 89 %, and the expected values of peak ground acceleration (PGA) and functional loss rate are the most influential features. The methodology offers insights into the application of ensemble learning for bridge network seismic resilience assessment.

评估桥梁网络的抗震能力对城市防灾减灾工作具有重要意义。与单个桥梁不同,对桥梁网络的评估效率有限。本文提出了一种利用集合学习方法进行桥梁网络抗震性评估的方法。首先,提出了一个综合的抗震指数,将桥梁网络的结构和功能两方面整合在一起。利用 3 种集合学习方法,选择与网络结构和交通特征相关的 9 个参数作为预测抗震指数的输入变量。构建了 18 座桥梁的有限元模型,并将其组合生成 3500 组虚拟桥梁网络用于模型训练。使用 3 种集合方法训练的模型预测准确率超过 89%,峰值地面加速度 (PGA) 和功能损失率的预期值是最有影响力的特征。该方法为将集合学习应用于桥梁网络抗震性评估提供了启示。
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引用次数: 0
Image reconstruction based on nonconvex overlapping group sparse regularization for planar ECT defect detection 基于非凸重叠群稀疏正则化的图像重建,用于平面 ECT 缺陷检测
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-10 DOI: 10.1016/j.advengsoft.2024.103767
Zhihao Tang, Lifeng Zhang

Composite materials have been widely applied in aerospace, automotive, and construction industries, making the non-destructive testing of these materials crucial. Planar electrical capacitance tomography (ECT), as a permittivity visualization technology, holds significant potential for development in the field of non-destructive testing. However, the underdetermination of its inverse problem often poses a key challenge to the imaging quality. To alleviate the underdetermination of the inverse problem and improve the image reconstruction quality of planar ECT, an image reconstruction method based on nonconvex overlapping group sparsity (NOGS) regularization is proposed. Firstly, the l2,1 overlapping group sparse regularization model for normalized permittivity is established. Secondly, nonconvex functions are utilized as the external functions of the l2,1 norm to form a NOGS regularization model. Finally, a Fast Non-Convex Overlapping Group Sparse Algorithm (FaNogSa) based on the LBP solution is proposed to solve the model for image reconstruction. To validate the effectiveness of this method, simulations, and experiments are conducted, and comparisons are made with the Tikhonov algorithm, Landweber algorithm, l1 norm method, Laplace Prior-Based Efficient Sparse Bayesian Learning (L-ESBL), student's T Prior-Based Efficient Sparse Bayesian Learning (S-ESBL), and method by combining the density-based spatial clustering of applications with noise clustering algorithm and self-adaptive alternating direction method of multipliers (DBSCAN-SADMM) algorithm. Results demonstrate that NOGS outperforms other algorithms in terms of reconstruction accuracy, convergence time, and robustness. Among NOGS, NOGS (atan) performs the best, NOGS (abs) performs the worst, and NOGS (log) falls in between.

复合材料已广泛应用于航空航天、汽车和建筑行业,因此对这些材料进行无损检测至关重要。平面电容断层扫描(ECT)作为一种介电常数可视化技术,在无损检测领域具有巨大的发展潜力。然而,其反问题的欠确定性往往对成像质量构成关键挑战。为了缓解逆问题的不确定性,提高平面 ECT 的图像重建质量,本文提出了一种基于非凸重叠群稀疏性(NOGS)正则化的图像重建方法。首先,建立了归一化介电常数的 l2,1 重叠群稀疏正则化模型。其次,利用非凸函数作为 l2,1 准则的外部函数,形成 NOGS 正则化模型。最后,提出了一种基于 LBP 解法的快速非凸重叠群稀疏算法(FaNogSa),用于求解图像重建模型。为了验证该方法的有效性,我们进行了模拟和实验,并与 Tikhonov 算法、Landweber 算法、l1 准则法、基于拉普拉斯先验的高效稀疏贝叶斯学习法(L-ESBL)、基于学生 T 先验的高效稀疏贝叶斯学习法(S-ESBL)以及基于密度的空间聚类应用与噪声聚类算法和自适应交替方向乘法(DBSCAN-SADMM)算法相结合的方法进行了比较。结果表明,NOGS 在重建精度、收敛时间和鲁棒性方面都优于其他算法。在 NOGS 中,NOGS(atan)表现最好,NOGS(abs)表现最差,NOGS(log)介于两者之间。
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引用次数: 0
Comparative analysis of seismic response reduction in multi-storey buildings equipped with base isolation and passive/active friction-tuned mass dampers 采用基础隔震和被动/主动摩擦调谐质量阻尼器降低多层建筑地震响应的比较分析
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-10 DOI: 10.1016/j.advengsoft.2024.103765
Morteza Akbari , Mohammad Seifi , Tomasz Falborski , Robert Jankowski

This study presents an innovative approach to mitigating seismic responses in multi-storey buildings equipped with a base-isolation (BI) system and passive friction-tuned mass dampers (PFTMDs). The key innovation lies in the combined use of a BI system and a PFTMD system, as well as the activation of this mechanical system by controllers. Additionally, the research design optimizes the parameters of these devices specifically for each earthquake scenario and compares the results to the average of the optimal parameters, which has not been investigated in previous studies. In this study, a 10-storey structure is modeled, featuring a BI system beneath the first floor and a PFTMD system on the roof. The parameters for the BI, PFTMD, BI-PFTMD, and BI-active FTMD (BI-AFTMD) systems are independently optimized using a multi-objective particle swarm optimization (MOPSO) algorithm. To enhance the passive BI-PFTMD system, a proportional-integral-derivative (PID) controller is incorporated into the friction-tuned mass damper system, resulting in the BI-AFTMD hybrid control system that adjusts the final control force transmitted to the structure. The seismic performance of these systems is assessed for the 10-storey building under both far-field and near-field earthquakes. The findings reveal that these control systems significantly decrease average peak displacement, acceleration, and inter-storey drift as compared to an uncontrolled structure, especially when system parameters are optimized for the same earthquake scenario. Using average optimal parameters, the BI-AFTMD system achieves the most substantial reduction in average peak displacement, while the BI system offers the greatest reduction in average peak acceleration and inter-storey drift.

本研究提出了一种创新方法,用于减轻装有基础隔震(BI)系统和被动摩擦调谐质量阻尼器(PFTMDs)的多层建筑的地震反应。创新的关键在于结合使用基础隔震系统和 PFTMD 系统,以及通过控制器激活该机械系统。此外,该研究设计还针对每种地震情况专门优化了这些设备的参数,并将结果与最优参数的平均值进行了比较,而这在以往的研究中尚未进行过调查。在这项研究中,模拟了一个 10 层结构,其特点是一楼下面有一个 BI 系统,屋顶上有一个 PFTMD 系统。采用多目标粒子群优化(MOPSO)算法对 BI、PFTMD、BI-PFTMD 和 BI-active FTMD(BI-AFTMD)系统的参数进行了独立优化。为了增强被动式 BI-PFTMD 系统,在摩擦调谐质量阻尼器系统中加入了一个比例-积分-派生(PID)控制器,从而形成了 BI-AFTMD 混合控制系统,该系统可调整传递到结构的最终控制力。在远场和近场地震中,对 10 层楼高的建筑进行了这些系统的抗震性能评估。研究结果表明,与不受控制的结构相比,这些控制系统能显著降低平均峰值位移、加速度和层间漂移,尤其是在相同地震情况下对系统参数进行优化时。使用平均最优参数,BI-AFTMD 系统实现了平均峰值位移的最大降低,而 BI 系统则实现了平均峰值加速度和层间漂移的最大降低。
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引用次数: 0
Improved mode shape expansion method for cable-stayed bridge using modal approach and artificial neural network 利用模态法和人工神经网络改进斜拉桥的模态振型扩展方法
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-07 DOI: 10.1016/j.advengsoft.2024.103766
Namju Byun , Jeonghwa Lee , Yunhak Noh , Young-Jong Kang

The Structure Equivalent Reduction-Expansion Process (SEREP), which has been widely used to expand experimental mode shapes, has the limitation of low accuracy of expansion for experimental mode shapes that are poorly correlated with finite element (FE) mode shapes. To address this limitation, a novel mode shape expansion method using modal approach and artificial neural network (ANN) is proposed in this paper. The ANN replaced the least-squares method to optimize the modal coordinates and considered the natural frequency and experimental mode shape of the master DOFs as input data. The superiority of the proposed ANN method compared with the SEREP was verified using a numerical cable-stayed bridge model. The proposed method, which can use a large number of FE mode shapes and optimize modal coordinates based on the ANN, achieved high accuracy (modal assurance criterion > 0.9 and normalized mean absolute percent error < 5 %) in expanding experimental mode shapes that have poor correlation. In addition, using the proposed method, the number of required experimental data can be reduced, and additional processes such as optimal selection of FE mode shapes and FE model modification can be omitted.

结构等效还原-扩展过程(SEREP)已被广泛用于扩展实验模态振型,但其局限性在于,对于与有限元(FE)模态振型相关性较差的实验模态振型,扩展精度较低。针对这一局限,本文提出了一种使用模态方法和人工神经网络(ANN)的新型模态振型扩展方法。人工神经网络取代了最小二乘法来优化模态坐标,并将主 DOF 的固有频率和实验模态振型作为输入数据。通过一个数值斜拉桥模型验证了所提出的 ANN 方法与 SEREP 方法相比的优越性。所提出的方法可以使用大量的 FE 模态振型,并基于 ANN 对模态坐标进行优化,在扩展相关性较差的实验模态振型时实现了较高的精度(模态保证准则 > 0.9 和归一化平均绝对百分误差 < 5 %)。此外,使用所提出的方法,可以减少所需的实验数据数量,并省去优化选择 FE 模态振型和修改 FE 模型等额外过程。
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引用次数: 0
Formal modelling and validation of a novel building information model 新型建筑信息模型的正式建模和验证
IF 4 2区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Pub Date : 2024-09-02 DOI: 10.1016/j.advengsoft.2024.103761
Linlin Kong, Qiliang Yang, Qizhen Zhou, Jianchun Xing, Yin Chen

Building Information Physical Model (BIPM) is a new special information model in which information processes and physical processes are coupled and intertwined, integrating static information, dynamic interaction mechanisms and physical mechanisms, while how to model and verify the theory of BIPM becomes an urgent problem to be solved. In this paper, firstly, we further improve the BIPM conceptual framework to make the interaction between the information model, the physical model, the interaction model and the three sub-models more clear and complete. In this way, we achieve the purpose of integrating dynamic and static attribute information and physical information of buildings into one environment. Secondly, we combine the implementation logic of BIPM with a strict mathematical description to establish the theoretical model of BIPM, so that BIPM accurately and realistically reflects the behavioral state in physical space, realizes the two-way interaction of virtual physics, achieving the purpose of controlling physics with virtual and optimal regulation. Again, we validated the theoretical model of BIPM by formal modelling using Communication Sequential Process (CSP), which proved the reliability and correctness of BIPM. Further, we have built a BIPM prototype system in conjunction with a chiller to validate the proposed modelling approach, which proves the feasibility and effectiveness of the modelling approach. BIPM is expected to form a new paradigm for information model of the building, which will provide basic support for the development of new platforms such as BIPM-based building operation and maintenance and urban digital twin.

建筑信息物理模型(BIPM)是信息过程与物理过程耦合交织的新型特殊信息模型,集静态信息、动态交互机制和物理机制于一体,而如何对BIPM的理论进行建模和验证成为亟待解决的问题。本文首先进一步完善了 BIPM 概念框架,使信息模型、物理模型、交互模型和三个子模型之间的交互关系更加清晰和完整。这样,我们就达到了将建筑物的动态、静态属性信息和物理信息整合到一个环境中的目的。其次,我们将 BIPM 的实现逻辑与严格的数学描述相结合,建立了 BIPM 的理论模型,使 BIPM 准确真实地反映了物理空间中的行为状态,实现了虚拟物理的双向交互,达到了以虚控实、优化调控的目的。再次,我们利用通信顺序过程(CSP)对 BIPM 的理论模型进行了形式化建模验证,证明了 BIPM 的可靠性和正确性。此外,我们还结合冷却器建立了一个 BIPM 原型系统,以验证所提出的建模方法,这证明了建模方法的可行性和有效性。预计 BIPM 将形成建筑信息模型的新范例,为开发基于 BIPM 的建筑运行与维护和城市数字孪生等新平台提供基础支持。
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