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End-to-End Design and Validation of a Low-Cost Stewart Platform With Nonlinear Estimation and Control 基于非线性估计与控制的低成本Stewart平台端到端设计与验证
Pub Date : 2026-02-09 DOI: 10.1002/adc2.70050
Benedictus C. G. Cinun, Tua A. Tamba, Immanuel R. Santjoko, Xiaofeng Wang, Bin Hu, Michael A. Gunarso

This paper presents the complete design, control, and experimental validation of a low-cost Stewart platform prototype developed as an affordable yet capable robotic testbed for research and education. The platform combines off-the-shelf components with 3D-printed and custom-fabricated parts to deliver full six degrees-of-freedom (6-DoF) motions using six linear actuators connecting a moving platform to a fixed base. The system software integrates dynamic modeling, data acquisition, and real-time control within a unified framework. A robust trajectory tracking controller based on feedback linearization, augmented with an LQR scheme, compensates for the platform's nonlinear dynamics to achieve precise motion control. In parallel, an Extended Kalman Filter fuses IMU and actuator encoder feedback to provide accurate and reliable state estimation under sensor noise and external disturbances. Unlike prior efforts that emphasize only isolated aspects such as modeling or control, this work delivers a complete hardware–software platform validated through both simulation and experiments on static and dynamic trajectories. Results demonstrate effective trajectory tracking and real-time state estimation, highlighting the platform's potential as a cost-effective and versatile tool for advanced research and educational applications.

本文介绍了一种低成本Stewart平台原型的完整设计、控制和实验验证,该平台是一种经济实惠的机器人测试平台,可用于研究和教育。该平台将现成的组件与3d打印和定制部件相结合,使用六个线性执行器将移动平台连接到固定基座,从而提供完整的六个自由度(6-DoF)运动。系统软件将动态建模、数据采集和实时控制集成在一个统一的框架内。基于反馈线性化的鲁棒轨迹跟踪控制器,增强了LQR方案,补偿了平台的非线性动力学,实现了精确的运动控制。同时,扩展卡尔曼滤波器融合了IMU和执行器编码器反馈,在传感器噪声和外部干扰下提供准确可靠的状态估计。与之前只强调建模或控制等孤立方面的工作不同,这项工作提供了一个完整的硬件软件平台,通过静态和动态轨迹的仿真和实验进行了验证。研究结果表明,该平台具有有效的轨迹跟踪和实时状态估计能力,是一种具有成本效益的多功能先进研究和教育应用工具。
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引用次数: 0
Modeling and Simulation Analysis of Intelligent Vehicle Operating Safety State on Icy and Snowy Roads Based on Car-Following Theory 基于车辆跟随理论的冰雪路面智能车辆运行安全状态建模与仿真分析
Pub Date : 2026-02-05 DOI: 10.1002/adc2.70044
Xuejing Du, Chenyu Jiang, Yiliang Cai, Zhanyu Wang, Haichao Li

To address the issue of determining and quantifying the safety level of vehicle following on icy and snow-covered roads in cold regions, this study focuses on intelligent vehicles operating in such environments and aims to identify their safety states. Initially, key indicators for determining the safety state of intelligent vehicles are identified by analyzing the vehicle-following operational conditions on icy and snow-covered roads. Subsequently, a safety state identification model for intelligent vehicle operation in following scenarios on icy roads is constructed based on these indicators. Finally, a simulation scenario model is developed using the co-simulation platform of CarSim and Simulink to perform simulation analysis and validation of the proposed safety state identification model. The results demonstrate that the constructed model integrates three key indicators: Time-to-Collision (TTC), Time-to-Stop (TTS), and Time Headway (TH). To unify the evaluation of different indicators, a dimensionless parameter termed the safety degree is introduced, which synthesizes the influence of TTC, TTS, and TH into a single criterion for distinguishing safe states from hazardous ones. The following safety degree of vehicles increases with the increase of TTC and TH and decreases with the increase of TTS. During vehicle-following operations, the safety degree decreases from 1 to 0.3 when the leading vehicle decelerates, indicating a risky operational state, while it increases gradually when the leading vehicle accelerates. After 11 s, the leading vehicle's speed exceeds its initial value, and the safety degree of the following vehicle rises almost linearly, reflecting an improvement in the evaluated safety state. These results confirm that the proposed model satisfies the requirements for judging and predicting the operational safety state of intelligent vehicles in following scenarios on icy and snowy roads, and it provides theoretical support for the safety assessment of intelligent driving under complex low-adhesion conditions.

为了解决寒冷地区冰雪覆盖道路上车辆跟随安全水平的确定和量化问题,本研究以在这种环境下运行的智能车辆为研究对象,旨在识别其安全状态。首先,通过分析冰雪路面上的车辆跟随运行情况,确定智能车辆安全状态的关键指标。随后,基于这些指标,构建了智能车辆在结冰道路上以下场景下运行的安全状态识别模型。最后,利用CarSim和Simulink联合仿真平台建立仿真场景模型,对所提出的安全状态识别模型进行仿真分析和验证。结果表明,构建的模型集成了三个关键指标:碰撞时间(TTC)、停车时间(TTS)和车头时距(TH)。为了统一不同指标的评价,引入了安全度这一无量纲参数,将TTC、TTS和TH的影响综合为一个区分安全状态和危险状态的单一标准。车辆跟随安全度随TTC和TH的增大而增大,随TTS的增大而减小。在车辆跟随过程中,当前车减速时,安全度由1降至0.3,处于危险运行状态;当前车加速时,安全度逐渐增大。11s后,前车车速超过初值,后车安全程度几乎呈线性上升,反映了评价的安全状态有所改善。验证了所提模型能够满足判断和预测智能车辆在冰雪路面以下场景下运行安全状态的要求,为复杂低附着工况下的智能驾驶安全评估提供理论支持。
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引用次数: 0
Design and Optimization of PID Controller for Renewable Energy Integrated Power System Using Model Order Reduction 基于模型降阶法的可再生能源综合电力系统PID控制器设计与优化
Pub Date : 2026-02-05 DOI: 10.1002/adc2.70051
Salik Ram Dewangan, P. D. Dewangan, V. P. Singh

This article presents the design of a proportional-integral-derivative (PID) controller for a renewable energy (RE) integrated power system using model order reduction (MOR). A test case of an 11th-order RE-integrated power system from the literature has been used to validate the applied method. The reduction of the 11th-order Renewable Energy (RE) integrated power system model to a 2nd-order model is achieved using a combination of Pade approximation (PA) and direct truncation (DT) (PA-DT) method. Further, the grey wolf optimization (GWO) technique is employed to determine the optimal parameters for the PID controller for the reduced-order model. The designed controller is then directly applied to the high-order system (HOS). This proposed PID design method via PA-DT MOR for the RE integrated power system is a novel technique because, at this stage, no publications related to this combined method are available. The suggested approach is supported by the time and frequency responses. Time domain specifications (TDSs) and performance error indices (PEIs), and statistical analysis are also provided to demonstrate the efficacy of the suggested method.

提出了一种基于模型阶数降阶(MOR)的可再生能源集成电力系统比例-积分-导数(PID)控制器的设计。用文献中的一个11阶re集成电力系统的测试案例验证了所采用的方法。采用Pade近似法(PA)和直接截断法(PA-DT)相结合的方法,将可再生能源(RE)集成电力系统的11阶模型降阶为2阶模型。在此基础上,采用灰狼优化(GWO)技术确定了降阶模型的PID控制器的最优参数。然后将所设计的控制器直接应用于高阶系统。本文提出的基于PA-DT MOR的可重构电力系统PID设计方法是一种新颖的技术,因为目前还没有相关的文献报道。该方法得到了时间和频率响应的支持。通过时域指标(tds)、性能误差指标(PEIs)和统计分析验证了该方法的有效性。
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引用次数: 0
Adaptive Fuzzy Dual PID Controller Optimized Genetic Algorithm for Enhanced Vehicle Suspension Performance 自适应模糊双PID控制器优化遗传算法提高汽车悬架性能
Pub Date : 2026-01-20 DOI: 10.1002/adc2.70040
İbrahim Şenaslan, Boğaç Bilgiç

This paper presents a method for improving the performance of a vehicle suspension system using an adaptive fuzzy dual PID controller optimized with a genetic algorithm. The fuzzy dual PID controller utilizes fuzzy logic to adapt to changing conditions and improve control, while the genetic algorithm optimizes the controller parameters to further enhance performance. The study uses velocity and position PID controllers because velocity PID controls acceleration well and position PID controls position well, and the incorporation of an adaptive fuzzy combination of two controllers ensures optimal performance of the suspension system under all operating conditions. To avoid the issue of suspension distance narrowing and to prevent instability in the controller, the low-pass filtered displacement response of unsprung mass is utilized as the reference for the position PID controller. Quantitatively, according to the ISO-8608 road entry for the goal function, the dual PID achieved a 53.35% improvement over the passive state, 6.57% better than dual PD, 33.06% over the Velocity PID, and 32.93% over the Position PID. These significant, quantifiable results confirm that the proposed adaptive fuzzy dual PID structure offers a robust and highly effective solution for advancing active vehicle suspension control technology.

提出了一种利用遗传算法优化的自适应模糊双PID控制器来提高汽车悬架系统性能的方法。模糊双PID控制器利用模糊逻辑来适应变化的条件,改善控制,而遗传算法优化控制器参数,进一步提高性能。该研究使用速度和位置PID控制器,因为速度PID控制器可以很好地控制加速度,位置PID控制器可以很好地控制位置,并且两个控制器的自适应模糊组合的结合确保了悬架系统在所有运行条件下的最佳性能。为了避免悬架距离缩小的问题,防止控制器不稳定,采用低通滤波后的非簧载质量位移响应作为位置PID控制器的参考。定量地,根据目标函数的ISO-8608道路入口,双PID比被动状态提高53.35%,比双PD提高6.57%,比速度PID提高33.06%,比位置PID提高32.93%。这些重要的、可量化的结果证实了所提出的自适应模糊双PID结构为推进车辆主动悬架控制技术提供了一个鲁棒和高效的解决方案。
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引用次数: 0
Nonlinear Optimal and Multi-Loop Flatness-Based Control of the 6-DOF Coaxial Rotor UAV 六自由度同轴旋翼无人机非线性最优多环平面度控制
Pub Date : 2026-01-16 DOI: 10.1002/adc2.70039
G. Rigatos, K. Busawon, P. Siano, Z. Gao, M. Abbaszadeh, L. Dala

Coaxial rotor 6-DOF UAVs can find use in several defence and civilian tasks. In this article, two different control methods are proposed for the control of this type of drones: (i) nonlinear optimal control and (ii) multi-loop flatness-based control. The dynamic model of the coaxial rotor drone is formulated and differential flatness properties are proven about it. To apply the nonlinear optimal control method, the dynamic model of the coaxial rotor drone undergoes approximate linearization with first-order Taylor-series expansion and through the computation of the associated Jacobian matrices. To apply multi-loop flatness-based control, the dynamic model of the UAV is decomposed in two subsystems connected in chained form. This means that the state vector of the second subsystem becomes virtual control input to the first subsystem, while the virtual control input of the first subsystem becomes a setpoints vector for the second subsystem. The two proposed control schemes ensure stabilization and precise flight-path tracking for the coaxial rotor UAV. Both control methods avoid changes of state variables and complicated state-space model transformations.

同轴转子6-DOF无人机可以在几个国防和民用任务中找到使用。本文提出了两种不同的控制方法来控制这类无人机:(i)非线性最优控制和(ii)基于平面度的多回路控制。建立了同轴旋翼无人机的动力学模型,并证明了其微分平整度特性。为了应用非线性最优控制方法,通过一阶泰勒级数展开和相关雅可比矩阵的计算,对同轴旋翼无人机的动力学模型进行近似线性化。为实现多环平面度控制,将无人机动力学模型分解为链式连接的两个子系统。这意味着第二子系统的状态向量成为第一子系统的虚拟控制输入,而第一子系统的虚拟控制输入成为第二子系统的设定点向量。提出的两种控制方案保证了同轴旋翼无人机的稳定性和精确的航迹跟踪。两种控制方法都避免了状态变量的变化和复杂的状态空间模型转换。
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引用次数: 0
Revisiting Chien-Hrones-Reswick Method for an Analytical Solution 再论解析解的Chien-Hrones-Reswick法
Pub Date : 2026-01-15 DOI: 10.1002/adc2.70041
Senol Gulgonul

This study presents an analytical method for tuning PI controllers in first-order with time delay (FOTD) systems, leveraging the Lambert W function. The Lambert W function enables exact pole placement, yielding direct analytical expressions for PI gains. The proposed approach identifies a critical condition that achieves a step response without overshoot and with minimum settling time, while also providing explicit tuning rules for systems where controlled overshoot is specified. The method demonstrates strong agreement with established empirical Chien-Hrones-Reswick tuning rules for both non-overshooting and overshooting cases, bridging the gap between theoretical analysis and empirical results.

本研究提出了一种利用Lambert W函数对一阶带时滞(FOTD)系统中的PI控制器进行调谐的分析方法。Lambert W函数可以精确地放置极点,产生PI增益的直接解析表达式。所提出的方法确定了一个临界条件,该条件可以实现无超调和最小稳定时间的阶跃响应,同时还为指定了受控超调的系统提供了显式调优规则。对于非超调和超调情况,该方法与已建立的经验Chien-Hrones-Reswick调谐规则具有很强的一致性,弥合了理论分析与经验结果之间的差距。
{"title":"Revisiting Chien-Hrones-Reswick Method for an Analytical Solution","authors":"Senol Gulgonul","doi":"10.1002/adc2.70041","DOIUrl":"https://doi.org/10.1002/adc2.70041","url":null,"abstract":"<div>\u0000 \u0000 <p>This study presents an analytical method for tuning PI controllers in first-order with time delay (FOTD) systems, leveraging the Lambert W function. The Lambert W function enables exact pole placement, yielding direct analytical expressions for PI gains. The proposed approach identifies a critical condition that achieves a step response without overshoot and with minimum settling time, while also providing explicit tuning rules for systems where controlled overshoot is specified. The method demonstrates strong agreement with established empirical Chien-Hrones-Reswick tuning rules for both non-overshooting and overshooting cases, bridging the gap between theoretical analysis and empirical results.</p>\u0000 </div>","PeriodicalId":100030,"journal":{"name":"Advanced Control for Applications","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/adc2.70041","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146002240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hybrid PI and Sliding Mode Control for Non-Inverting Buck–Boost Converters With Experimental Validation 非反相Buck-Boost变换器的混合PI和滑模控制及其实验验证
Pub Date : 2026-01-14 DOI: 10.1002/adc2.70043
Nguyen Vinh Quan, Nguyen Ngoc Son

This paper presents a hybrid control strategy for a non-inverting Buck–Boost DC–DC converter used in photovoltaic energy management. The converter employs two independent Buck and Boost stages, enabling decoupled control loops and fast tracking of rapidly varying reference signals. A combined PI–SMC framework is proposed, where the outer loop regulates the output voltage using a PI controller, and the inner loop controls the inductor current via a smooth Sliding Mode Control (SMC) law based on an arctan(s) switching function. This smooth SMC formulation effectively reduces chattering and high-frequency oscillations while improving tracking accuracy and robustness. Simulation results show short settling time, fast recovery under abrupt input and load variations, and stable performance across the full Buck–Boost operating range. Quantitative NRMSE (Normalized Root Mean Square Error) analysis confirms high tracking quality, with the output voltage exceeding 90% and the inductor current reaching about 98%. Experimental implementation on a TMS320F28379 DSP further validates the proposed method. The results demonstrate improved disturbance rejection and reduced sensitivity to parameter uncertainties, making the approach well suited for practical renewable-energy power converters.

本文提出了一种用于光伏能源管理的非逆变Buck-Boost DC-DC变换器的混合控制策略。转换器采用两个独立的降压和升压级,实现解耦控制回路和快速跟踪快速变化的参考信号。提出了一种PI - SMC组合框架,其中外环使用PI控制器调节输出电压,内环通过基于arctan(s)开关函数的平滑滑模控制(SMC)律控制电感电流。这种平滑的SMC配方有效地减少了抖振和高频振荡,同时提高了跟踪精度和鲁棒性。仿真结果表明,该系统稳定时间短,在输入和负载突变情况下恢复速度快,在Buck-Boost全工作范围内性能稳定。定量NRMSE(归一化均方根误差)分析证实了高跟踪质量,输出电压超过90%,电感电流达到98%左右。在TMS320F28379 DSP上的实验验证了该方法的有效性。结果表明,该方法具有较好的抗干扰性,降低了对参数不确定性的敏感性,适用于实际的可再生能源变流器。
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引用次数: 0
Time Prediction Model Based on NN-SVM and H∞ Filter 基于NN-SVM和H∞滤波器的时间预测模型
Pub Date : 2025-12-03 DOI: 10.1002/adc2.70038
Bojing Cheng, Hongye Liu, Qian Yu, Ying Wang

Considering the limited prediction accuracy of the existing time prediction model, we propose a bus arrival time prediction model based on improved SVM and H∞ filter technique. The NN-SVM which had two input features was used to predict the baseline of bus running time from historical trip data. Applying the real-time running information and combining it with baseline time, we use H∞ filter to predict bus arrival time dynamically. Bus arrival time forecasted by the proposed model was assessed with the data of transit route number 142 in Changsha in China. Results demonstrate that the proposed method achieved a Mean Absolute Error (MAE) of 19.47 s, Root Mean Square Error (RMSE) of 23.42 s, representing a 65.0% reduction in MAE and a 74.5% reduction in RMSE compared to standard SVM. and PBIAS of −2.4%, indicating high accuracy with minimal underestimation bias. Compared with conventional SVM and Kalman-based models, the proposed model reduced RMSE by 19.4% and improved robustness in dynamic traffic scenarios.

针对现有时间预测模型预测精度有限的问题,提出了一种基于改进支持向量机和H∞滤波技术的公交车到达时间预测模型。利用具有两个输入特征的神经网络-支持向量机从历史行程数据中预测公交运行时间基线。利用实时运行信息,结合基线时间,采用H∞滤波器动态预测公交到达时间。以长沙市142号公交线路为例,对该模型预测的公交到达时间进行了评价。结果表明,该方法的平均绝对误差(MAE)为19.47 s,均方根误差(RMSE)为23.42 s,与标准SVM相比,MAE降低了65.0%,RMSE降低了74.5%。PBIAS为- 2.4%,表明准确度高,低估偏差最小。与传统的支持向量机和基于卡尔曼的模型相比,该模型的RMSE降低了19.4%,提高了动态交通场景下的鲁棒性。
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引用次数: 0
Genetic Algorithm-Based Non-Singular Fast Terminal Sliding Mode Control of a Quadrotor With Thrust and Mechanical Link Deflection Fault 基于遗传算法的推力和机械连杆偏转故障四旋翼非奇异快速终端滑模控制
Pub Date : 2025-12-03 DOI: 10.1002/adc2.70037
Mohammad Bagher Sajjadi, Moosa Ayati

In this article, a novel mathematical model of a quadrotor UAV (Unmanned Aerial Vehicle) suffering from one type of structural fault, angle deflection in a motor and the corresponding mechanical link, has been derived. Such faults add additional nonlinear terms to the differential equations of motion and change the 3D configuration of the UAV. These nonlinear terms rely significantly on the unknown fault angles, which are estimated via a Radial Basis Function Neural Network (RBFNN). Moreover, a Non-singular Fast Terminal Sliding Mode Control (NFTSMC) scheme optimized by a Genetic Algorithm (GANFTSMC) has been designed for trajectory tracking and reduction of control effort. Simulation results for the entire closed-loop system, using three different types of reference signals and fault angles, demonstrate the significant performance of the proposed controller in the presence of structural faults and external disturbances. Furthermore, the settling time of error dynamics of the system states to the origin has been finite, and the superior performance of our proposed control strategy has been validated via comparison with other robust nonlinear control techniques implemented in the literature.

本文推导了四旋翼无人机(UAV)在电机及相应机械环节发生角度偏转这一结构故障时的数学模型。这类故障在运动微分方程中增加了额外的非线性项,改变了无人机的三维构型。这些非线性项很大程度上依赖于未知的故障角度,而未知的故障角度是通过径向基函数神经网络(RBFNN)来估计的。在此基础上,设计了一种基于遗传算法优化的非奇异快速终端滑模控制(NFTSMC)方案,用于轨迹跟踪和减少控制工作量。采用三种不同类型的参考信号和故障角度对整个闭环系统进行了仿真,结果表明该控制器在存在结构故障和外部干扰的情况下具有显著的性能。此外,系统状态的误差动力学到原点的沉降时间是有限的,并且通过与文献中实现的其他鲁棒非线性控制技术的比较,验证了我们所提出的控制策略的优越性能。
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引用次数: 0
Semi-Submersible Wind Turbine Operational Safety, by Gaidai Multidimensional Structural Reliability Assessment Method 半潜式风力发电机组运行安全,基于Gaidai多维结构可靠性评估方法
Pub Date : 2025-11-26 DOI: 10.1002/adc2.70036
Oleg Gaidai, Shicheng He, Jinlu Sheng, Ahmed Alaghbari, Yan Zhu, Mahmoud El-Wazery, Alaa Elsayed

Purpose

Importance of discovering clean, renewable energy sources, rather than being dependent on the world's finite hydrocarbon resources is growing. As a result, wind power, especially offshore wind, is an alternative gaining popularity these days. Today's offshore wind energy sector depends on robust and resilient structural design, given increased operational risks due to ambient wave loads. Floating Offshore Wind Turbines (FOWT) produce clean, renewable energy—moreover, FOWT sizes, efficiency and power output are steadily increasing. The current study has aimed to validate a novel multimodal approach for structural risk assessment, facilitating the effective extraction of pertinent statistical information from even relatively limited underlying non-stationary datasets.

Methods

Excessive structural dynamics may result in either progressive or rapid structural damage, as well as accumulated fatigue damage, mostly caused by environmental in situ loads. Hydrodynamic and aerodynamic environmental covariates have been accounted for within FAST-coupled nonlinear aero-hydro-servo-elasticity software.

Results

The current study's methodology aimed to assist designers in assessing hazards and failure risks for complex nonlinear multimodal dynamic wind energy systems, including cases with initial manufacturing imperfections.

Novelty

A practical engineering design example was used to demonstrate efficiency and verify the advocated state-of-the-art multimodal structural risk assessment approach.

Conclusions

The proposed state-of-the-art multimodal structural reliability method might be beneficial for a wide range of offshore engineering applications requiring robust, durable and safe design.

发现清洁、可再生能源,而不是依赖世界上有限的碳氢化合物资源的重要性日益增加。因此,风力发电,尤其是海上风力发电,是一种越来越受欢迎的替代能源。考虑到环境波浪载荷带来的运营风险增加,如今的海上风能行业依赖于坚固且有弹性的结构设计。浮式海上风力涡轮机(FOWT)生产清洁的可再生能源,而且,FOWT的尺寸,效率和功率输出正在稳步增加。目前的研究旨在验证一种新的多模式结构风险评估方法,促进从相对有限的潜在非平稳数据集中有效提取相关统计信息。方法过度的结构动力可能导致结构的渐进或快速损伤,以及累积疲劳损伤,这些损伤主要是由环境原位荷载引起的。在fast耦合非线性气动-液压-伺服-弹性软件中考虑了水动力和空气动力环境协变量。当前研究的方法旨在帮助设计师评估复杂非线性多模态动态风能系统的危害和失效风险,包括初始制造缺陷的情况。以工程设计实例验证了多模态结构风险评估方法的有效性。结论本文提出的多模态结构可靠度方法可广泛应用于要求坚固、耐用和安全设计的海上工程。
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引用次数: 0
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