查看購物車
  • English
  • Japanese
  • Korean
封面
市場調查報告書
商品編碼
1925155

全球減振材料市場預測（至2032年）：依材料類型、形態、應用、最終使用者和地區分類

Vibration Damping Material Market Forecasts to 2032 - Global Analysis By Material Type, Form (Films & Sheets, Pads & Tapes, Foams & Gaskets, Liquid-Applied Damping / Coatings, and Other Forms), Application, End User, and By Geography
出版日期: | 出版商: Stratistics Market Research Consulting | 英文 | 商品交期: 2-3個工作天內

價格

根據 Stratistics MRC 的一項研究，預計到 2025 年全球振動阻尼市場將達到 41 億美元，到 2032 年將達到 67 億美元。

預計市場在預測期內將以7.1%的複合年成長率成長。阻尼材料包括用於降低機器、車輛、建築物和電子設備中機械振動和噪音的材料和複合材料。它們涵蓋聚合物、彈性體、發泡體和工程複合複合材料，廣泛應用於汽車、工業、航太和建築領域。成長要素包括設備精度要求不斷提高、噪音和舒適性標準日益嚴格、基礎設施現代化、電動車日益普及以及對更長設備使用壽命和更高運行可靠性的需求。

乘客對提高舒適度和降低客艙噪音的需求日益成長

隨著消費者出行時間的增加，他們對噪音、振動和不平順性（NVH）的敏感度也隨之提高，促使製造商在車身和飛機客艙中採用先進的阻尼層。這一趨勢在向電動車的過渡中尤其明顯，因為電動車不再像內燃機那樣具有隔音效果，路噪和風噪變得更加顯著。因此，高性能的減振材料對於維持現代豪華車和電動車乘客所期望的靜謐、無振動的駕駛環境至關重要。

重量和空間限制

在航太和汽車應用中，添加傳統的笨重減振材料會對燃油經濟性和續航里程產生負面影響，這與永續性目標直接相反。此外，家用電子電器的微型化趨勢使得笨重的保護組件幾乎沒有容身之處。工程師必須在提供卓越隔音效果的同時，滿足嚴格的空氣動力學和尺寸要求，而這使得傳統減振材料的應用面臨挑戰。

可調諧或自適應智慧阻尼材料的開發

磁流變液和形狀記憶合金等「智慧」材料的出現為市場帶來了變革性的機會。與性能固定的被動材料不同，這些新型材料能夠根據溫度或頻率等外部因素即時改變其阻尼特性。這使得它們能夠精確控制更廣泛的振動應力範圍，使其成為建築物抗震保護和精密航太零件等高風險應用的理想選擇。對這些自適應技術的研發投入對於推動市場從靜態振動控制轉型為智慧主動振動管理系統至關重要。

原物料價格波動

全球原油價格波動直接影響合成彈性體和發泡體的成本，而貿易緊張和供應鏈中斷可能導致金屬減振零件價格飆升。對製造商而言，這種波動使得長期預算和價格競爭力難以製定，往往會擠壓利潤空間。由於減振通常被視為大型計劃的次要成本，價格過度波動可能導致一些終端用戶尋求更便宜但效果較差的替代方案。

新冠疫情的感染疾病：

疫情初期，由於全球製造地面臨前所未有的封鎖，物流網路崩壞，市場陷入停滯。汽車和航太產業等減震材料的主要消費產業幾乎一夜之間停產，導致需求暴跌。然而，這場危機也成為了變革的催化劑，迫使企業實現供應鏈多元化，並加速了自動化製造的普及。隨著世界經濟的重啟，對醫療基礎設施和家用電子電器的日益重視，助力市場復甦並最終重拾成長動能。

在預測期內，聚合物材料細分市場將佔據最大的市場佔有率。

由於其卓越的多功能性和成本效益，聚合物材料預計將在預測期內佔據最大的市場佔有率。聚合物，包括聚氨酯、聚氯乙烯（PVC）和各種合成橡膠，兼具輕質和高能量吸收能力。這些材料易於模製成複雜形狀，使其成為精密汽車密封和飛機內部裝潢建材的首選材料。其固有的黏彈性使其能夠有效地將動能轉換為熱能，從而形成可靠的結構噪音屏障。在工業界追求輕量化而不犧牲性能的趨勢下，聚合物仍保持其主導地位。

在預測期內，電子和家用電器產業將實現最高的複合年成長率。

預計在預測期內，家用電器和電子產品領域將實現最高成長率，這主要得益於消費性科技的日益複雜化和便攜性。 5G設備的快速普及、高速主機的興起以及智慧家庭設備的興起，使得保護內部敏感感測器和微處理器對先進的振動控制技術產生了迫切需求。隨著設備尺寸的縮小，內部組件運動導致的機械故障風險也隨之增加，推動了對超薄高性能阻尼膠帶和墊片的需求。消費性電子產品製造業的蓬勃發展，尤其是在新興經濟體，確保了該領域的成長速度將超過傳統工業應用領域。

佔比最大的地區：

由於亞太地區是全球最大的製造地，預計該地區將在整個預測期內佔據最大的市場佔有率。中國、日本和印度等國家擁有大規模的汽車和電子產品生產基地，這些基地需要穩定的噪音控制材料供應。對基礎設施的大量投資以及主要原始設備製造商 (OEM) 的存在，為阻尼解決方案創造了強大的國內生態系統。此外，完善的原料供應鏈和相對較低的生產成本預計將使該地區在可預見的未來保持全球市場的主導地位（就銷售而言）。

年複合成長率最高的地區：

預計亞太地區在預測期內將實現最高的複合年成長率，這主要得益於快速的都市化和電動車生產的大規模轉型。東南亞和印度不斷壯大的中產階級人口正在推動對更安靜的家用電器和乘用車的需求激增。此外，該地區各國政府正在收緊噪音污染法規，敦促各行業實施更好的振動管理措施。消費者購買力的提升和監管環境的不斷變化，必將推動亞太市場繼續保持強勁的成長動能。

免費客製化服務：

購買此報告後，您將獲得以下免費自訂選項之一：

  • 公司概況
    • 對其他市場參與者（最多 3 家公司）進行全面分析
    • 主要企業SWOT分析（最多3家公司）
  • 區域細分
    • 根據客戶要求，對主要國家進行市場估算和預測，並計算複合年成長率（註：可行性需確認）。
  • 競爭標竿分析
    • 根據主要參與者的產品系列、地理覆蓋範圍和策略聯盟進行基準分析

目錄

第1章執行摘要

第2章 前言

  • 概括
  • 相關利益者
  • 調查範圍
  • 調查方法
  • 研究材料

第3章 市場趨勢分析

  • 促進要素
  • 抑制因素
  • 機會
  • 威脅
  • 應用分析
  • 終端用戶分析
  • 新興市場
  • 新冠疫情的感染疾病

第4章 波特五力分析

  • 供應商的議價能力
  • 買方的議價能力
  • 替代品的威脅
  • 新進入者的威脅
  • 競爭對手之間的競爭

第5章 全球阻尼材料市場（依材料類型分類）

  • 聚合物材料
    • 聚氨酯（PU）
    • 丁基橡膠
    • 聚氯乙烯（PVC）
    • 矽酮
    • 其他
  • 金屬和合金
  • 複合材料
  • 其他

第6章 全球阻尼材料市場（按類型分類）

  • 薄膜和片材
  • 墊膠帶
  • 泡棉墊圈
  • 液態阻尼材料（LASD）/塗層
  • 其他

第7章 全球阻尼材料市場（按應用分類）

  • 無約束阻尼材料（ULD）
  • 約束阻尼材料（CLD）
  • 隔振和吸收

第8章 全球振動阻尼材料市場（按最終用戶分類）

  • 汽車/運輸設備
  • 航太/國防
  • 電子設備/家用電器
  • 建築/施工
  • 工業機械
  • 運動與休閒

第9章 全球阻尼材料市場（按地區分類）

  • 北美洲
    • 美國
    • 加拿大
    • 墨西哥
  • 歐洲
    • 德國
    • 英國
    • 義大利
    • 法國
    • 西班牙
    • 其他歐洲國家
  • 亞太地區
    • 日本
    • 中國
    • 印度
    • 澳洲
    • 紐西蘭
    • 韓國
    • 亞太其他地區
  • 南美洲
    • 阿根廷
    • 巴西
    • 智利
    • 其他南美國家
  • 中東和非洲
    • 沙烏地阿拉伯
    • 阿拉伯聯合大公國
    • 卡達
    • 南非
    • 其他中東和非洲地區

第10章：重大進展

  • 協議、夥伴關係、合作和合資企業
  • 併購
  • 新產品發布
  • 業務拓展
  • 其他關鍵策略

第11章 企業概況

  • 3M Company
  • Trelleborg AB
  • Parker-Hannifin Corporation
  • Hutchinson SA
  • Saint-Gobain SA
  • Henkel AG &Co. KGaA
  • Sika AG
  • Dow Inc.
  • BASF SE
  • DuPont de Nemours, Inc.
  • Huntsman Corporation
  • Wacker Chemie AG
  • KCC Corporation
  • Rogers Corporation
  • Nitto Denko Corporation
  • Sumitomo Riko Company Limited
Product Code: SMRC33549

According to Stratistics MRC, the Global Vibration Damping Material Market is accounted for $4.1 billion in 2025 and is expected to reach $6.7 billion by 2032, growing at a CAGR of 7.1% during the forecast period. The vibration damping material includes materials and composites that reduce mechanical vibrations and noise in machinery, vehicles, buildings, and electronic equipment. It covers polymers, elastomers, foams, and engineered composites used in automotive, industrial, aerospace, and construction sectors. Growth is driven by rising equipment precision requirements, stricter noise and comfort standards, infrastructure modernization, expansion of electric vehicles, and demand for longer equipment life and improved operational reliability.

Market Dynamics:

Driver:

Demand for improved passenger comfort and reduced cabin noise

As consumers spend more time in transit, their sensitivity to "Noise, Vibration, and Harshness" (NVH) has heightened, leading manufacturers to integrate sophisticated damping layers into vehicle bodies and aircraft cabins. This trend is particularly amplified by the shift toward electric vehicles; without the mask of an internal combustion engine, road and wind noise become far more noticeable. Therefore, to maintain the silent, vibration-free environment that modern luxury and EV passengers now expect, high-performance damping materials are essential.

Restraint:

Weight and space constraints

In the aerospace and automotive sectors, adding traditional, heavy damping materials can negatively impact fuel efficiency and range, creating a direct conflict with sustainability goals. Furthermore, the trend toward miniaturization in consumer electronics leaves very little room for bulky protective components. Engineers have to find a balance between providing excellent sound insulation and meeting strict requirements for aerodynamics or size, which can make it hard to use regular damping materials.

Opportunity:

Development of smart damping materials with tunable or adaptive properties

The emergence of "smart" materials, such as magnetorheological fluids and shape-memory alloys, presents a transformative opportunity for the market. These new solutions can change their damping properties in real time based on outside factors like temperature or frequency, unlike passive materials that have fixed performance. This allows for precise control over a wider range of vibrational stresses, making them ideal for high-stakes applications in seismic protection for buildings or precision aerospace components. R&D investment in these adaptive technologies positions the market to transition from static insulation to intelligent, active vibration management systems.

Threat:

Volatility in raw material prices

Fluctuations in global oil prices directly impact the cost of synthetic elastomers and foams, while trade tensions and supply chain disruptions can cause sudden spikes in the price of metallic damping components. For manufacturers, this volatility makes long-term budgeting and competitive pricing difficult, often squeezing profit margins. Because vibration damping is frequently viewed as a secondary cost in large-scale projects, excessive price swings may lead some end-users to seek cheaper, less effective alternatives.

Covid-19 Impact:

The pandemic initially stalled the market as global manufacturing hubs faced unprecedented lockdowns and logistics networks collapsed. The automotive and aerospace industries, which serve as the primary consumers of damping materials, saw production halt almost overnight, leading to a sharp decline in demand. However, the crisis also acted as a catalyst for change; it forced companies to diversify their supply chains and accelerated the adoption of automated manufacturing. As the world reopened, a renewed focus on healthcare infrastructure and domestic electronics helped the market recover and eventually regain its growth momentum.

The polymeric materials segment is expected to be the largest during the forecast period

The polymeric materials segment is expected to account for the largest market share during the forecast period due to its exceptional versatility and cost-effectiveness. Polymers, including polyurethane, PVC, and various synthetic rubbers, offer a unique combination of lightweight properties and high energy-dissipation capabilities. These materials are easily molded into complex shapes, making them the go-to choice for intricate automotive gaskets and aircraft interior linings. Their inherent viscoelasticity allows them to transform kinetic energy into heat efficiently, providing a reliable barrier against structural noise. As industries prioritize weight reduction without compromising on performance, the dominance of polymers remains unchallenged.

The electronics & appliances segment is expected to have the highest CAGR during the forecast period

Over the forecast period, the electronics & appliances segment is predicted to witness the highest growth rate as consumer technology becomes more powerful and portable. The rapid proliferation of 5G devices, high-speed gaming consoles, and smart home appliances has created an urgent need for advanced vibration control to protect delicate internal sensors and microprocessors. As devices become smaller, the risk of mechanical failure from internal component movement increases, driving the demand for ultra-thin, high-performance damping tapes and pads. This surge in consumer electronics manufacturing, particularly in emerging economies, ensures that this segment will outpace traditional industrial applications.

Region with largest share:

During the forecast period, the Asia Pacific region is expected to hold the largest market share, fueled by its status as the world's primary manufacturing hub. Countries like China, Japan, and India host massive automotive and electronics production bases that require a constant supply of noise-control materials. Large-scale investments in infrastructure and the presence of leading original equipment manufacturers (OEMs) create a robust domestic ecosystem for damping solutions. Furthermore, the region's established supply chains for raw materials and relatively lower production costs allow it to maintain a dominant volume-based share of the global market for the foreseeable future.

Region with highest CAGR:

Over the forecast period, the Asia Pacific region is anticipated to exhibit the highest CAGR, driven by rapid urbanization and the massive shift toward electric vehicle production. As middle-class populations grow in Southeast Asia and India, the demand for quieter household appliances and passenger cars is skyrocketing. Governments in the region are also implementing stricter noise pollution regulations, compelling industries to adopt better vibration management. This combination of rising consumer purchasing power and evolving regulatory landscapes ensures that the Asia Pacific market will continue to expand significantly.

Key players in the market

Some of the key players in Vibration Damping Material Market include 3M Company, Trelleborg AB, Parker-Hannifin Corporation, Hutchinson SA, Saint-Gobain S.A., Henkel AG & Co. KGaA, Sika AG, Dow Inc., BASF SE, DuPont de Nemours, Inc., Huntsman Corporation, Wacker Chemie AG, KCC Corporation, Rogers Corporation, Nitto Denko Corporation, and Sumitomo Riko Company Limited.

Key Developments:

In January 2026, 3M promoted its Vibration Damping Tape 434/436, engineered for aerospace and industrial applications with cold-temperature resistance and UV durability.

In November 2025, Parker announced its acquisition of Filtration Group Corporation, strengthening its engineered materials portfolio including vibration damping solutions.

In October 2025, BASF showcased Cellasto(R) polyurethane elastomers, delivering superior NVH damping in automotive suspension and body systems.

Material Types Covered:

  • Polymeric Materials
  • Metals & Alloys
  • Composite Materials
  • Other Material Types

Forms Covered:

  • Films & Sheets
  • Pads & Tapes
  • Foams & Gaskets
  • Liquid-Applied Damping (LASD) / Coatings
  • Other Forms

Applications Covered:

  • Unconstrained Layer Damping (ULD)
  • Constrained Layer Damping (CLD)
  • Vibration Isolation & Absorption

End Users Covered:

  • Automotive & Transportation
  • Aerospace & Defense
  • Electronics & Appliances
  • Building & Construction
  • Industrial Machinery
  • Sports & Leisure

Regions Covered:

  • North America
    • US
    • Canada
    • Mexico
  • Europe
    • Germany
    • UK
    • Italy
    • France
    • Spain
    • Rest of Europe
  • Asia Pacific
    • Japan
    • China
    • India
    • Australia
    • New Zealand
    • South Korea
    • Rest of Asia Pacific
  • South America
    • Argentina
    • Brazil
    • Chile
    • Rest of South America
  • Middle East & Africa
    • Saudi Arabia
    • UAE
    • Qatar
    • South Africa
    • Rest of Middle East & Africa

What our report offers:

  • Market share assessments for the regional and country-level segments
  • Strategic recommendations for the new entrants
  • Covers Market data for the years 2024, 2025, 2026, 2028, and 2032
  • Market Trends (Drivers, Constraints, Opportunities, Threats, Challenges, Investment Opportunities, and recommendations)
  • Strategic recommendations in key business segments based on the market estimations
  • Competitive landscaping mapping the key common trends
  • Company profiling with detailed strategies, financials, and recent developments
  • Supply chain trends mapping the latest technological advancements

Free Customization Offerings:

All the customers of this report will be entitled to receive one of the following free customization options:

  • Company Profiling
    • Comprehensive profiling of additional market players (up to 3)
    • SWOT Analysis of key players (up to 3)
  • Regional Segmentation
    • Market estimations, Forecasts and CAGR of any prominent country as per the client's interest (Note: Depends on feasibility check)
  • Competitive Benchmarking
    • Benchmarking of key players based on product portfolio, geographical presence, and strategic alliances

Table of Contents

1 Executive Summary

2 Preface

  • 2.1 Abstract
  • 2.2 Stake Holders
  • 2.3 Research Scope
  • 2.4 Research Methodology
    • 2.4.1 Data Mining
    • 2.4.2 Data Analysis
    • 2.4.3 Data Validation
    • 2.4.4 Research Approach
  • 2.5 Research Sources
    • 2.5.1 Primary Research Sources
    • 2.5.2 Secondary Research Sources
    • 2.5.3 Assumptions

3 Market Trend Analysis

  • 3.1 Introduction
  • 3.2 Drivers
  • 3.3 Restraints
  • 3.4 Opportunities
  • 3.5 Threats
  • 3.6 Application Analysis
  • 3.7 End User Analysis
  • 3.8 Emerging Markets
  • 3.9 Impact of Covid-19

4 Porters Five Force Analysis

  • 4.1 Bargaining power of suppliers
  • 4.2 Bargaining power of buyers
  • 4.3 Threat of substitutes
  • 4.4 Threat of new entrants
  • 4.5 Competitive rivalry

5 Global Vibration Damping Material Market, By Material Type

  • 5.1 Introduction
  • 5.2 Polymeric Materials
    • 5.2.1 Polyurethane (PU)
    • 5.2.2 Butyl Rubber
    • 5.2.3 Polyvinyl Chloride (PVC)
    • 5.2.4 Silicone
    • 5.2.5 Other Polymeric Materials
  • 5.3 Metals & Alloys
  • 5.4 Composite Materials
  • 5.5 Other Material Types

6 Global Vibration Damping Material Market, By Form

  • 6.1 Introduction
  • 6.2 Films & Sheets
  • 6.3 Pads & Tapes
  • 6.4 Foams & Gaskets
  • 6.5 Liquid-Applied Damping (LASD) / Coatings
  • 6.6 Other Forms

7 Global Vibration Damping Material Market, By Application

  • 7.1 Introduction
  • 7.2 Unconstrained Layer Damping (ULD)
  • 7.3 Constrained Layer Damping (CLD)
  • 7.4 Vibration Isolation & Absorption

8 Global Vibration Damping Material Market, By End User

  • 8.1 Introduction
  • 8.2 Automotive & Transportation
  • 8.3 Aerospace & Defense
  • 8.4 Electronics & Appliances
  • 8.5 Building & Construction
  • 8.6 Industrial Machinery
  • 8.7 Sports & Leisure

9 Global Vibration Damping Material Market, By Geography

  • 9.1 Introduction
  • 9.2 North America
    • 9.2.1 US
    • 9.2.2 Canada
    • 9.2.3 Mexico
  • 9.3 Europe
    • 9.3.1 Germany
    • 9.3.2 UK
    • 9.3.3 Italy
    • 9.3.4 France
    • 9.3.5 Spain
    • 9.3.6 Rest of Europe
  • 9.4 Asia Pacific
    • 9.4.1 Japan
    • 9.4.2 China
    • 9.4.3 India
    • 9.4.4 Australia
    • 9.4.5 New Zealand
    • 9.4.6 South Korea
    • 9.4.7 Rest of Asia Pacific
  • 9.5 South America
    • 9.5.1 Argentina
    • 9.5.2 Brazil
    • 9.5.3 Chile
    • 9.5.4 Rest of South America
  • 9.6 Middle East & Africa
    • 9.6.1 Saudi Arabia
    • 9.6.2 UAE
    • 9.6.3 Qatar
    • 9.6.4 South Africa
    • 9.6.5 Rest of Middle East & Africa

10 Key Developments

  • 10.1 Agreements, Partnerships, Collaborations and Joint Ventures
  • 10.2 Acquisitions & Mergers
  • 10.3 New Product Launch
  • 10.4 Expansions
  • 10.5 Other Key Strategies

11 Company Profiling

  • 11.1 3M Company
  • 11.2 Trelleborg AB
  • 11.3 Parker-Hannifin Corporation
  • 11.4 Hutchinson SA
  • 11.5 Saint-Gobain S.A.
  • 11.6 Henkel AG & Co. KGaA
  • 11.7 Sika AG
  • 11.8 Dow Inc.
  • 11.9 BASF SE
  • 11.10 DuPont de Nemours, Inc.
  • 11.11 Huntsman Corporation
  • 11.12 Wacker Chemie AG
  • 11.13 KCC Corporation
  • 11.14 Rogers Corporation
  • 11.15 Nitto Denko Corporation
  • 11.16 Sumitomo Riko Company Limited

List of Tables

  • 1 Global Vibration Damping Material Market Outlook, By Region (2024-2032) ($MN)
  • 2 Global Vibration Damping Material Market Outlook, By Material Type (2024-2032) ($MN)
  • 3 Global Vibration Damping Material Market Outlook, By Polymeric Materials (2024-2032) ($MN)
  • 4 Global Vibration Damping Material Market Outlook, By Polyurethane (PU) (2024-2032) ($MN)
  • 5 Global Vibration Damping Material Market Outlook, By Butyl Rubber (2024-2032) ($MN)
  • 6 Global Vibration Damping Material Market Outlook, By Polyvinyl Chloride (PVC) (2024-2032) ($MN)
  • 7 Global Vibration Damping Material Market Outlook, By Silicone (2024-2032) ($MN)
  • 8 Global Vibration Damping Material Market Outlook, By Other Polymeric Materials (2024-2032) ($MN)
  • 9 Global Vibration Damping Material Market Outlook, By Metals & Alloys (2024-2032) ($MN)
  • 10 Global Vibration Damping Material Market Outlook, By Composite Materials (2024-2032) ($MN)
  • 11 Global Vibration Damping Material Market Outlook, By Other Material Types (2024-2032) ($MN)
  • 12 Global Vibration Damping Material Market Outlook, By Form (2024-2032) ($MN)
  • 13 Global Vibration Damping Material Market Outlook, By Films & Sheets (2024-2032) ($MN)
  • 14 Global Vibration Damping Material Market Outlook, By Pads & Tapes (2024-2032) ($MN)
  • 15 Global Vibration Damping Material Market Outlook, By Foams & Gaskets (2024-2032) ($MN)
  • 16 Global Vibration Damping Material Market Outlook, By Liquid-Applied Damping (LASD) / Coatings (2024-2032) ($MN)
  • 17 Global Vibration Damping Material Market Outlook, By Other Forms (2024-2032) ($MN)
  • 18 Global Vibration Damping Material Market Outlook, By Application (2024-2032) ($MN)
  • 19 Global Vibration Damping Material Market Outlook, By Unconstrained Layer Damping (ULD) (2024-2032) ($MN)
  • 20 Global Vibration Damping Material Market Outlook, By Constrained Layer Damping (CLD) (2024-2032) ($MN)
  • 21 Global Vibration Damping Material Market Outlook, By Vibration Isolation & Absorption (2024-2032) ($MN)
  • 22 Global Vibration Damping Material Market Outlook, By End User (2024-2032) ($MN)
  • 23 Global Vibration Damping Material Market Outlook, By Automotive & Transportation (2024-2032) ($MN)
  • 24 Global Vibration Damping Material Market Outlook, By Aerospace & Defense (2024-2032) ($MN)
  • 25 Global Vibration Damping Material Market Outlook, By Electronics & Appliances (2024-2032) ($MN)
  • 26 Global Vibration Damping Material Market Outlook, By Building & Construction (2024-2032) ($MN)
  • 27 Global Vibration Damping Material Market Outlook, By Industrial Machinery (2024-2032) ($MN)
  • 28 Global Vibration Damping Material Market Outlook, By Sports & Leisure (2024-2032) ($MN)

Note: Tables for North America, Europe, APAC, South America, and Middle East & Africa Regions are also represented in the same manner as above.